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Finding the Fourth Proportional to 731.91, 1,098.49 and 293.47

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Solution

The fourth proportional to 731.91, 1,098.49 and 293.47 is: 440.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.91 : 1,098.49 = 293.47 : x
  2. Step 2: Convert to fraction form
    731.91/1,098.49 = 293.47/x
  3. Step 3: Cross multiply
    731.91x = 1,098.49 × 293.47
  4. Step 4: Simplify right side
    731.91x = 322,373.86
  5. Step 5: Solve for x
    x = 322,373.86/731.91
  6. Step 6: Final answer
    x = 440.46

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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.