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Finding the Fourth Proportional to 724.44, 1,083.97 and 432.10

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Solution

The fourth proportional to 724.44, 1,083.97 and 432.10 is: 646.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.44 : 1,083.97 = 432.10 : x
  2. Step 2: Convert to fraction form
    724.44/1,083.97 = 432.10/x
  3. Step 3: Cross multiply
    724.44x = 1,083.97 × 432.10
  4. Step 4: Simplify right side
    724.44x = 468,383.44
  5. Step 5: Solve for x
    x = 468,383.44/724.44
  6. Step 6: Final answer
    x = 646.55

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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.