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Finding the Fourth Proportional to 892.47, 1,231.50 and 519.51

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Solution

The fourth proportional to 892.47, 1,231.50 and 519.51 is: 716.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.47 : 1,231.50 = 519.51 : x
  2. Step 2: Convert to fraction form
    892.47/1,231.50 = 519.51/x
  3. Step 3: Cross multiply
    892.47x = 1,231.50 × 519.51
  4. Step 4: Simplify right side
    892.47x = 639,778.75
  5. Step 5: Solve for x
    x = 639,778.75/892.47
  6. Step 6: Final answer
    x = 716.86

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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.