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Finding the Fourth Proportional to 731.20, 1,096.08 and 401.80

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Solution

The fourth proportional to 731.20, 1,096.08 and 401.80 is: 602.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.20 : 1,096.08 = 401.80 : x
  2. Step 2: Convert to fraction form
    731.20/1,096.08 = 401.80/x
  3. Step 3: Cross multiply
    731.20x = 1,096.08 × 401.80
  4. Step 4: Simplify right side
    731.20x = 440,404.94
  5. Step 5: Solve for x
    x = 440,404.94/731.20
  6. Step 6: Final answer
    x = 602.30

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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.