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Finding the Fourth Proportional to 1,382.97, 2,074.92 and 652.46

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Solution

The fourth proportional to 1,382.97, 2,074.92 and 652.46 is: 978.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.97 : 2,074.92 = 652.46 : x
  2. Step 2: Convert to fraction form
    1,382.97/2,074.92 = 652.46/x
  3. Step 3: Cross multiply
    1,382.97x = 2,074.92 × 652.46
  4. Step 4: Simplify right side
    1,382.97x = 1,353,789.48
  5. Step 5: Solve for x
    x = 1,353,789.48/1,382.97
  6. Step 6: Final answer
    x = 978.90

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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.