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Finding the Fourth Proportional to 892.92, 1,232.02 and 519.67

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Solution

The fourth proportional to 892.92, 1,232.02 and 519.67 is: 717.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.92 : 1,232.02 = 519.67 : x
  2. Step 2: Convert to fraction form
    892.92/1,232.02 = 519.67/x
  3. Step 3: Cross multiply
    892.92x = 1,232.02 × 519.67
  4. Step 4: Simplify right side
    892.92x = 640,241.24
  5. Step 5: Solve for x
    x = 640,241.24/892.92
  6. Step 6: Final answer
    x = 717.02

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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.