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Finding the Fourth Proportional to 692.70, 1,037.43 and 529.08

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Solution

The fourth proportional to 692.70, 1,037.43 and 529.08 is: 792.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.70 : 1,037.43 = 529.08 : x
  2. Step 2: Convert to fraction form
    692.70/1,037.43 = 529.08/x
  3. Step 3: Cross multiply
    692.70x = 1,037.43 × 529.08
  4. Step 4: Simplify right side
    692.70x = 548,883.46
  5. Step 5: Solve for x
    x = 548,883.46/692.70
  6. Step 6: Final answer
    x = 792.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.