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Finding the Fourth Proportional to 724.29, 1,083.71 and 430.71

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Solution

The fourth proportional to 724.29, 1,083.71 and 430.71 is: 644.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.29 : 1,083.71 = 430.71 : x
  2. Step 2: Convert to fraction form
    724.29/1,083.71 = 430.71/x
  3. Step 3: Cross multiply
    724.29x = 1,083.71 × 430.71
  4. Step 4: Simplify right side
    724.29x = 466,762.58
  5. Step 5: Solve for x
    x = 466,762.58/724.29
  6. Step 6: Final answer
    x = 644.44

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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.