Координаты оказались точными.

Here оказались means turned out to be or proved to be.

So Координаты оказались точными means something like:

• The coordinates turned out to be accurate.
• The coordinates proved accurate.

This verb often suggests that the truth became clear only after checking, testing, or finding out.

Because the subject координаты is plural.

In the past tense, Russian verbs agree with the subject:

• singular masculine: оказался
• singular feminine: оказалась
• singular neuter: оказалось
• plural: оказались

Since координаты = coordinates is plural, the verb must be оказались.

Координаты is nominative plural.

Its dictionary form is координата = coordinate.

Here it is the subject of the sentence, so nominative makes sense:

• координата — singular
• координаты — plural

Russian often uses the plural when talking about a set of coordinates.

Because after оказаться Russian normally uses a predicate adjective in the instrumental case when that adjective is in the full form.

So:

• точный = accurate, exact
• точными = instrumental plural

That matches координаты in number and fits the verb оказаться.

So:

• Координаты оказались точными = correct/normal
• Координаты оказались точные = not the normal form here

A short adjective is also possible in some styles:

• Координаты оказались точны

But in everyday neutral Russian, точными is the more standard choice here.

The infinitive is оказаться.

It is perfective aspect.

That fits the meaning well, because the sentence describes a result that became known: the coordinates turned out to be accurate.

The imperfective partner is оказываться:

• оказываться — to be turning out / to turn out regularly
• оказаться — to turn out (as a completed result)

In this sentence, the completed discovery is the important idea, so оказались is used.

The difference is mainly in nuance.

• Координаты были точными = The coordinates were accurate.
  This simply states a fact.

• Координаты оказались точными = The coordinates turned out to be accurate.
  This suggests that someone checked them, doubted them, or only later discovered that they were accurate.

So оказались adds the idea of discovery/result.

Yes. Оказаться is a flexible verb.

It can mean:

1. to turn out to be

   • Он оказался прав.
     He turned out to be right.

2. to end up / to find oneself somewhere

   • Он оказался в Москве.
     He ended up in Moscow.

In your sentence, because it is followed by an adjective (точными), the meaning is clearly turned out to be.

No, Russian word order is fairly flexible.

The neutral order is:

• Координаты оказались точными.

But you could also say:

• Точными оказались координаты.

That version puts more emphasis on точными, as if contrasting them with another possibility.

So the original sentence is the most neutral, straightforward way to say it.

The stress is:

координа́ты оказа́лись то́чными

A rough pronunciation guide:

• координа́ты — ko-or-di-NA-ty
• оказа́лись — a-ka-ZA-lis'
• то́чными — TO-chny-mi

The stress matters, especially in оказа́лись and то́чными.

Not always, but very often when people mean a full set of coordinates.

• координата = one coordinate
• координаты = coordinates, a set of coordinate values

So if you are talking about a location given by coordinates, Russian usually uses the plural, just like English often does.