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Finding the Fourth Proportional to 892.09, 1,231.23 and 519.13

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Solution

The fourth proportional to 892.09, 1,231.23 and 519.13 is: 716.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.09 : 1,231.23 = 519.13 : x
  2. Step 2: Convert to fraction form
    892.09/1,231.23 = 519.13/x
  3. Step 3: Cross multiply
    892.09x = 1,231.23 × 519.13
  4. Step 4: Simplify right side
    892.09x = 639,168.43
  5. Step 5: Solve for x
    x = 639,168.43/892.09
  6. Step 6: Final answer
    x = 716.48

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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.