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Finding the Fourth Proportional to 927, 1,382.31 and 860.04

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Solution

The fourth proportional to 927, 1,382.31 and 860.04 is: 1,282.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    927 : 1,382.31 = 860.04 : x
  2. Step 2: Convert to fraction form
    927/1,382.31 = 860.04/x
  3. Step 3: Cross multiply
    927x = 1,382.31 × 860.04
  4. Step 4: Simplify right side
    927x = 1,188,841.89
  5. Step 5: Solve for x
    x = 1,188,841.89/927
  6. Step 6: Final answer
    x = 1,282.46

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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.