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Finding the Fourth Proportional to 724.01, 1,086.17 and 261.68

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Solution

The fourth proportional to 724.01, 1,086.17 and 261.68 is: 392.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.01 : 1,086.17 = 261.68 : x
  2. Step 2: Convert to fraction form
    724.01/1,086.17 = 261.68/x
  3. Step 3: Cross multiply
    724.01x = 1,086.17 × 261.68
  4. Step 4: Simplify right side
    724.01x = 284,222.23
  5. Step 5: Solve for x
    x = 284,222.23/724.01
  6. Step 6: Final answer
    x = 392.57

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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.