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Finding the Fourth Proportional to 731.62, 1,097.23 and 365.91

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Solution

The fourth proportional to 731.62, 1,097.23 and 365.91 is: 548.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.62 : 1,097.23 = 365.91 : x
  2. Step 2: Convert to fraction form
    731.62/1,097.23 = 365.91/x
  3. Step 3: Cross multiply
    731.62x = 1,097.23 × 365.91
  4. Step 4: Simplify right side
    731.62x = 401,487.43
  5. Step 5: Solve for x
    x = 401,487.43/731.62
  6. Step 6: Final answer
    x = 548.76

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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.