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Finding the Fourth Proportional to 724.75, 1,000.09 and 429.96

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Solution

The fourth proportional to 724.75, 1,000.09 and 429.96 is: 593.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.75 : 1,000.09 = 429.96 : x
  2. Step 2: Convert to fraction form
    724.75/1,000.09 = 429.96/x
  3. Step 3: Cross multiply
    724.75x = 1,000.09 × 429.96
  4. Step 4: Simplify right side
    724.75x = 430,002.98
  5. Step 5: Solve for x
    x = 430,002.98/724.75
  6. Step 6: Final answer
    x = 593.31

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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.