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Finding the Fourth Proportional to 692.11, 1,038.17 and 487.59

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Solution

The fourth proportional to 692.11, 1,038.17 and 487.59 is: 731.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.11 : 1,038.17 = 487.59 : x
  2. Step 2: Convert to fraction form
    692.11/1,038.17 = 487.59/x
  3. Step 3: Cross multiply
    692.11x = 1,038.17 × 487.59
  4. Step 4: Simplify right side
    692.11x = 506,201.31
  5. Step 5: Solve for x
    x = 506,201.31/692.11
  6. Step 6: Final answer
    x = 731.39

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Why These Related Problems?

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