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Finding the Fourth Proportional to 892.90, 1,232.08 and 519.59

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Solution

The fourth proportional to 892.90, 1,232.08 and 519.59 is: 716.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.90 : 1,232.08 = 519.59 : x
  2. Step 2: Convert to fraction form
    892.90/1,232.08 = 519.59/x
  3. Step 3: Cross multiply
    892.90x = 1,232.08 × 519.59
  4. Step 4: Simplify right side
    892.90x = 640,179.53
  5. Step 5: Solve for x
    x = 640,179.53/892.90
  6. Step 6: Final answer
    x = 716.96

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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.