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Finding the Fourth Proportional to 1,164.25, 1,748.87 and 731.71

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Solution

The fourth proportional to 1,164.25, 1,748.87 and 731.71 is: 1,099.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.25 : 1,748.87 = 731.71 : x
  2. Step 2: Convert to fraction form
    1,164.25/1,748.87 = 731.71/x
  3. Step 3: Cross multiply
    1,164.25x = 1,748.87 × 731.71
  4. Step 4: Simplify right side
    1,164.25x = 1,279,665.67
  5. Step 5: Solve for x
    x = 1,279,665.67/1,164.25
  6. Step 6: Final answer
    x = 1,099.13

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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.