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Finding the Fourth Proportional to 731.29, 1,097.07 and 628.29

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Solution

The fourth proportional to 731.29, 1,097.07 and 628.29 is: 942.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.29 : 1,097.07 = 628.29 : x
  2. Step 2: Convert to fraction form
    731.29/1,097.07 = 628.29/x
  3. Step 3: Cross multiply
    731.29x = 1,097.07 × 628.29
  4. Step 4: Simplify right side
    731.29x = 689,272.62
  5. Step 5: Solve for x
    x = 689,272.62/731.29
  6. Step 6: Final answer
    x = 942.54

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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.