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Finding the Fourth Proportional to 729.38, 1,092.85 and 317.90

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Solution

The fourth proportional to 729.38, 1,092.85 and 317.90 is: 476.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.38 : 1,092.85 = 317.90 : x
  2. Step 2: Convert to fraction form
    729.38/1,092.85 = 317.90/x
  3. Step 3: Cross multiply
    729.38x = 1,092.85 × 317.90
  4. Step 4: Simplify right side
    729.38x = 347,417.02
  5. Step 5: Solve for x
    x = 347,417.02/729.38
  6. Step 6: Final answer
    x = 476.32

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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.