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Finding the Fourth Proportional to 892.68, 1,231.89 and 519.89

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Solution

The fourth proportional to 892.68, 1,231.89 and 519.89 is: 717.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.68 : 1,231.89 = 519.89 : x
  2. Step 2: Convert to fraction form
    892.68/1,231.89 = 519.89/x
  3. Step 3: Cross multiply
    892.68x = 1,231.89 × 519.89
  4. Step 4: Simplify right side
    892.68x = 640,441.13
  5. Step 5: Solve for x
    x = 640,441.13/892.68
  6. Step 6: Final answer
    x = 717.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.