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Finding the Fourth Proportional to 927.09, 1,382.10 and 880.92

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Solution

The fourth proportional to 927.09, 1,382.10 and 880.92 is: 1,313.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.09 : 1,382.10 = 880.92 : x
  2. Step 2: Convert to fraction form
    927.09/1,382.10 = 880.92/x
  3. Step 3: Cross multiply
    927.09x = 1,382.10 × 880.92
  4. Step 4: Simplify right side
    927.09x = 1,217,519.53
  5. Step 5: Solve for x
    x = 1,217,519.53/927.09
  6. Step 6: Final answer
    x = 1,313.27

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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.