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Finding the Fourth Proportional to 729.11, 1,006.08 and 426.31

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Solution

The fourth proportional to 729.11, 1,006.08 and 426.31 is: 588.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.11 : 1,006.08 = 426.31 : x
  2. Step 2: Convert to fraction form
    729.11/1,006.08 = 426.31/x
  3. Step 3: Cross multiply
    729.11x = 1,006.08 × 426.31
  4. Step 4: Simplify right side
    729.11x = 428,901.96
  5. Step 5: Solve for x
    x = 428,901.96/729.11
  6. Step 6: Final answer
    x = 588.25

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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.