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Finding the Fourth Proportional to 692.88, 956.82 and 517.92

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Solution

The fourth proportional to 692.88, 956.82 and 517.92 is: 715.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.88 : 956.82 = 517.92 : x
  2. Step 2: Convert to fraction form
    692.88/956.82 = 517.92/x
  3. Step 3: Cross multiply
    692.88x = 956.82 × 517.92
  4. Step 4: Simplify right side
    692.88x = 495,556.21
  5. Step 5: Solve for x
    x = 495,556.21/692.88
  6. Step 6: Final answer
    x = 715.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.