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Finding the Fourth Proportional to 892.83, 1,232.34 and 519.96

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Solution

The fourth proportional to 892.83, 1,232.34 and 519.96 is: 717.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.83 : 1,232.34 = 519.96 : x
  2. Step 2: Convert to fraction form
    892.83/1,232.34 = 519.96/x
  3. Step 3: Cross multiply
    892.83x = 1,232.34 × 519.96
  4. Step 4: Simplify right side
    892.83x = 640,767.51
  5. Step 5: Solve for x
    x = 640,767.51/892.83
  6. Step 6: Final answer
    x = 717.68

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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.