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Finding the Fourth Proportional to 1,061.43, 1,591.33 and 412.62

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Solution

The fourth proportional to 1,061.43, 1,591.33 and 412.62 is: 618.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.43 : 1,591.33 = 412.62 : x
  2. Step 2: Convert to fraction form
    1,061.43/1,591.33 = 412.62/x
  3. Step 3: Cross multiply
    1,061.43x = 1,591.33 × 412.62
  4. Step 4: Simplify right side
    1,061.43x = 656,614.58
  5. Step 5: Solve for x
    x = 656,614.58/1,061.43
  6. Step 6: Final answer
    x = 618.61

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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.