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Finding the Fourth Proportional to 892.75, 1,232.15 and 519.95

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Solution

The fourth proportional to 892.75, 1,232.15 and 519.95 is: 717.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.75 : 1,232.15 = 519.95 : x
  2. Step 2: Convert to fraction form
    892.75/1,232.15 = 519.95/x
  3. Step 3: Cross multiply
    892.75x = 1,232.15 × 519.95
  4. Step 4: Simplify right side
    892.75x = 640,656.47
  5. Step 5: Solve for x
    x = 640,656.47/892.75
  6. Step 6: Final answer
    x = 717.62

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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.