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Finding the Fourth Proportional to 724.82, 1,000.26 and 393.25

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Solution

The fourth proportional to 724.82, 1,000.26 and 393.25 is: 542.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.82 : 1,000.26 = 393.25 : x
  2. Step 2: Convert to fraction form
    724.82/1,000.26 = 393.25/x
  3. Step 3: Cross multiply
    724.82x = 1,000.26 × 393.25
  4. Step 4: Simplify right side
    724.82x = 393,347.70
  5. Step 5: Solve for x
    x = 393,347.70/724.82
  6. Step 6: Final answer
    x = 542.68

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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.