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Finding the Fourth Proportional to 731.45, 1,097.15 and 365.97

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Solution

The fourth proportional to 731.45, 1,097.15 and 365.97 is: 548.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.45 : 1,097.15 = 365.97 : x
  2. Step 2: Convert to fraction form
    731.45/1,097.15 = 365.97/x
  3. Step 3: Cross multiply
    731.45x = 1,097.15 × 365.97
  4. Step 4: Simplify right side
    731.45x = 401,520.10
  5. Step 5: Solve for x
    x = 401,520.10/731.45
  6. Step 6: Final answer
    x = 548.94

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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.