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Finding the Fourth Proportional to 724.53, 1,086.91 and 262.34

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Solution

The fourth proportional to 724.53, 1,086.91 and 262.34 is: 393.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.53 : 1,086.91 = 262.34 : x
  2. Step 2: Convert to fraction form
    724.53/1,086.91 = 262.34/x
  3. Step 3: Cross multiply
    724.53x = 1,086.91 × 262.34
  4. Step 4: Simplify right side
    724.53x = 285,139.97
  5. Step 5: Solve for x
    x = 285,139.97/724.53
  6. Step 6: Final answer
    x = 393.55

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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.