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Finding the Fourth Proportional to 927, 1,382.13 and 871.92

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Solution

The fourth proportional to 927, 1,382.13 and 871.92 is: 1,300.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    927 : 1,382.13 = 871.92 : x
  2. Step 2: Convert to fraction form
    927/1,382.13 = 871.92/x
  3. Step 3: Cross multiply
    927x = 1,382.13 × 871.92
  4. Step 4: Simplify right side
    927x = 1,205,106.79
  5. Step 5: Solve for x
    x = 1,205,106.79/927
  6. Step 6: Final answer
    x = 1,300.01

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Why These Related Problems?

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