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Finding the Fourth Proportional to 822.32, 1,233.68 and 677.73

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Solution

The fourth proportional to 822.32, 1,233.68 and 677.73 is: 1,016.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.32 : 1,233.68 = 677.73 : x
  2. Step 2: Convert to fraction form
    822.32/1,233.68 = 677.73/x
  3. Step 3: Cross multiply
    822.32x = 1,233.68 × 677.73
  4. Step 4: Simplify right side
    822.32x = 836,098.56
  5. Step 5: Solve for x
    x = 836,098.56/822.32
  6. Step 6: Final answer
    x = 1,016.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.