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Finding the Fourth Proportional to 724.97, 1,084.75 and 432.63

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Solution

The fourth proportional to 724.97, 1,084.75 and 432.63 is: 647.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.97 : 1,084.75 = 432.63 : x
  2. Step 2: Convert to fraction form
    724.97/1,084.75 = 432.63/x
  3. Step 3: Cross multiply
    724.97x = 1,084.75 × 432.63
  4. Step 4: Simplify right side
    724.97x = 469,295.39
  5. Step 5: Solve for x
    x = 469,295.39/724.97
  6. Step 6: Final answer
    x = 647.33

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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.