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Finding the Fourth Proportional to 725.92, 1,088.34 and 314.71

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Solution

The fourth proportional to 725.92, 1,088.34 and 314.71 is: 471.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.92 : 1,088.34 = 314.71 : x
  2. Step 2: Convert to fraction form
    725.92/1,088.34 = 314.71/x
  3. Step 3: Cross multiply
    725.92x = 1,088.34 × 314.71
  4. Step 4: Simplify right side
    725.92x = 342,511.48
  5. Step 5: Solve for x
    x = 342,511.48/725.92
  6. Step 6: Final answer
    x = 471.83

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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.