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Finding the Fourth Proportional to 724.70, 1,084.92 and 449.96

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Solution

The fourth proportional to 724.70, 1,084.92 and 449.96 is: 673.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.70 : 1,084.92 = 449.96 : x
  2. Step 2: Convert to fraction form
    724.70/1,084.92 = 449.96/x
  3. Step 3: Cross multiply
    724.70x = 1,084.92 × 449.96
  4. Step 4: Simplify right side
    724.70x = 488,164.76
  5. Step 5: Solve for x
    x = 488,164.76/724.70
  6. Step 6: Final answer
    x = 673.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.