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Finding the Fourth Proportional to 731.93, 1,098.18 and 320.78

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Solution

The fourth proportional to 731.93, 1,098.18 and 320.78 is: 481.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.93 : 1,098.18 = 320.78 : x
  2. Step 2: Convert to fraction form
    731.93/1,098.18 = 320.78/x
  3. Step 3: Cross multiply
    731.93x = 1,098.18 × 320.78
  4. Step 4: Simplify right side
    731.93x = 352,274.01
  5. Step 5: Solve for x
    x = 352,274.01/731.93
  6. Step 6: Final answer
    x = 481.29

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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.