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Finding the Fourth Proportional to 892.82, 1,232.12 and 499.83

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Solution

The fourth proportional to 892.82, 1,232.12 and 499.83 is: 689.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.82 : 1,232.12 = 499.83 : x
  2. Step 2: Convert to fraction form
    892.82/1,232.12 = 499.83/x
  3. Step 3: Cross multiply
    892.82x = 1,232.12 × 499.83
  4. Step 4: Simplify right side
    892.82x = 615,848.04
  5. Step 5: Solve for x
    x = 615,848.04/892.82
  6. Step 6: Final answer
    x = 689.78

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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.