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Finding the Fourth Proportional to 724.80, 1,084.64 and 496.96

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Solution

The fourth proportional to 724.80, 1,084.64 and 496.96 is: 743.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.80 : 1,084.64 = 496.96 : x
  2. Step 2: Convert to fraction form
    724.80/1,084.64 = 496.96/x
  3. Step 3: Cross multiply
    724.80x = 1,084.64 × 496.96
  4. Step 4: Simplify right side
    724.80x = 539,022.69
  5. Step 5: Solve for x
    x = 539,022.69/724.80
  6. Step 6: Final answer
    x = 743.68

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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.