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Finding the Fourth Proportional to 824.11, 1,236.77 and 663.73

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Solution

The fourth proportional to 824.11, 1,236.77 and 663.73 is: 996.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.11 : 1,236.77 = 663.73 : x
  2. Step 2: Convert to fraction form
    824.11/1,236.77 = 663.73/x
  3. Step 3: Cross multiply
    824.11x = 1,236.77 × 663.73
  4. Step 4: Simplify right side
    824.11x = 820,877.43
  5. Step 5: Solve for x
    x = 820,877.43/824.11
  6. Step 6: Final answer
    x = 996.08

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