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Finding the Fourth Proportional to 892.02, 1,231.06 and 519.12

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Solution

The fourth proportional to 892.02, 1,231.06 and 519.12 is: 716.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.02 : 1,231.06 = 519.12 : x
  2. Step 2: Convert to fraction form
    892.02/1,231.06 = 519.12/x
  3. Step 3: Cross multiply
    892.02x = 1,231.06 × 519.12
  4. Step 4: Simplify right side
    892.02x = 639,067.87
  5. Step 5: Solve for x
    x = 639,067.87/892.02
  6. Step 6: Final answer
    x = 716.43

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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.