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Finding the Fourth Proportional to 927, 1,380.69 and 880.74

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Solution

The fourth proportional to 927, 1,380.69 and 880.74 is: 1,311.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    927 : 1,380.69 = 880.74 : x
  2. Step 2: Convert to fraction form
    927/1,380.69 = 880.74/x
  3. Step 3: Cross multiply
    927x = 1,380.69 × 880.74
  4. Step 4: Simplify right side
    927x = 1,216,028.91
  5. Step 5: Solve for x
    x = 1,216,028.91/927
  6. Step 6: Final answer
    x = 1,311.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.