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Finding the Fourth Proportional to 892.34, 1,231.70 and 519.41

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Solution

The fourth proportional to 892.34, 1,231.70 and 519.41 is: 716.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.34 : 1,231.70 = 519.41 : x
  2. Step 2: Convert to fraction form
    892.34/1,231.70 = 519.41/x
  3. Step 3: Cross multiply
    892.34x = 1,231.70 × 519.41
  4. Step 4: Simplify right side
    892.34x = 639,757.30
  5. Step 5: Solve for x
    x = 639,757.30/892.34
  6. Step 6: Final answer
    x = 716.94

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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.