722:288•27(37-22)=

To solve the expression \( 722 : 288 \cdot 27(37 - 22) \), let's break it down step by step.

1. Start with the expression inside the parentheses: \[ 37 - 22 = 15 \]

2. Now substitute that back into the expression: \[ 722 : 288 \cdot 27 \cdot 15 \]

3. Next, calculate \( 722 : 288 \). This can be expressed as: \[ \frac{722}{288} \approx 2.51 \quad (for a more precise calculation, it equals \frac{722}{288} = \frac{361}{144} \text{ in simplest terms}) \]

4. Now multiply this result by \( 27 \) and then by \( 15 \): \[ 2.51 \cdot 27 \cdot 15 \]

5. First, calculate \( 2.51 \cdot 27 \): \[ 2.51 \cdot 27 \approx 67.77 \]

6. Now multiply by \( 15 \): \[ 67.77 \cdot 15 \approx 1016.55 \]

So, the final result is approximately \( 1016.55 \) (if you need the exact fractions, you can calculate accordingly).

Thus, \( 722 : 288 \cdot 27(37 - 22) \approx 1016.55 \).