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Finding the Fourth Proportional to 1,382.31, 2,073.97 and 642.27

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Solution

The fourth proportional to 1,382.31, 2,073.97 and 642.27 is: 963.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.31 : 2,073.97 = 642.27 : x
  2. Step 2: Convert to fraction form
    1,382.31/2,073.97 = 642.27/x
  3. Step 3: Cross multiply
    1,382.31x = 2,073.97 × 642.27
  4. Step 4: Simplify right side
    1,382.31x = 1,332,057.29
  5. Step 5: Solve for x
    x = 1,332,057.29/1,382.31
  6. Step 6: Final answer
    x = 963.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.