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Finding the Fourth Proportional to 892, 1,229.61 and 766.99

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Solution

The fourth proportional to 892, 1,229.61 and 766.99 is: 1,057.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    892 : 1,229.61 = 766.99 : x
  2. Step 2: Convert to fraction form
    892/1,229.61 = 766.99/x
  3. Step 3: Cross multiply
    892x = 1,229.61 × 766.99
  4. Step 4: Simplify right side
    892x = 943,098.57
  5. Step 5: Solve for x
    x = 943,098.57/892
  6. Step 6: Final answer
    x = 1,057.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.