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Finding the Fourth Proportional to 1,016.97, 1,399.92 and 767.90

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Solution

The fourth proportional to 1,016.97, 1,399.92 and 767.90 is: 1,057.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.97 : 1,399.92 = 767.90 : x
  2. Step 2: Convert to fraction form
    1,016.97/1,399.92 = 767.90/x
  3. Step 3: Cross multiply
    1,016.97x = 1,399.92 × 767.90
  4. Step 4: Simplify right side
    1,016.97x = 1,074,991.57
  5. Step 5: Solve for x
    x = 1,074,991.57/1,016.97
  6. Step 6: Final answer
    x = 1,057.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.