If 0.75 : x :: 5 : 8, find x.

Problem restatement
Solve the proportion 0.75 : x = 5 : 8 for x.

Concept/Approach
Use equality of ratios: 0.75/x = 5/8 ⇒ x = 0.75 × 8 ÷ 5.

Step-by-step calculation
x = (0.75 × 8) ÷ 5 = 6 ÷ 5 = 1.2

Verification/Alternative
Check: 0.75 : 1.2 = 0.625 and 5 : 8 = 0.625 → consistent.

Final Answer
1.20