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Finding the Fourth Proportional to 729.16, 1,006.23 and 624.10

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Solution

The fourth proportional to 729.16, 1,006.23 and 624.10 is: 861.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.16 : 1,006.23 = 624.10 : x
  2. Step 2: Convert to fraction form
    729.16/1,006.23 = 624.10/x
  3. Step 3: Cross multiply
    729.16x = 1,006.23 × 624.10
  4. Step 4: Simplify right side
    729.16x = 627,988.14
  5. Step 5: Solve for x
    x = 627,988.14/729.16
  6. Step 6: Final answer
    x = 861.25

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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.