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Finding the Fourth Proportional to 892.95, 1,231.97 and 519.74

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Solution

The fourth proportional to 892.95, 1,231.97 and 519.74 is: 717.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.95 : 1,231.97 = 519.74 : x
  2. Step 2: Convert to fraction form
    892.95/1,231.97 = 519.74/x
  3. Step 3: Cross multiply
    892.95x = 1,231.97 × 519.74
  4. Step 4: Simplify right side
    892.95x = 640,304.09
  5. Step 5: Solve for x
    x = 640,304.09/892.95
  6. Step 6: Final answer
    x = 717.07

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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.