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Finding the Fourth Proportional to 724.87, 1,000.31 and 430.10

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Solution

The fourth proportional to 724.87, 1,000.31 and 430.10 is: 593.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.87 : 1,000.31 = 430.10 : x
  2. Step 2: Convert to fraction form
    724.87/1,000.31 = 430.10/x
  3. Step 3: Cross multiply
    724.87x = 1,000.31 × 430.10
  4. Step 4: Simplify right side
    724.87x = 430,233.33
  5. Step 5: Solve for x
    x = 430,233.33/724.87
  6. Step 6: Final answer
    x = 593.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.