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Finding the Fourth Proportional to 724.44, 1,087.62 and 432.48

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Solution

The fourth proportional to 724.44, 1,087.62 and 432.48 is: 649.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.44 : 1,087.62 = 432.48 : x
  2. Step 2: Convert to fraction form
    724.44/1,087.62 = 432.48/x
  3. Step 3: Cross multiply
    724.44x = 1,087.62 × 432.48
  4. Step 4: Simplify right side
    724.44x = 470,373.90
  5. Step 5: Solve for x
    x = 470,373.90/724.44
  6. Step 6: Final answer
    x = 649.29

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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.