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Finding the Fourth Proportional to 1,062.13, 1,463.97 and 851.92

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Solution

The fourth proportional to 1,062.13, 1,463.97 and 851.92 is: 1,174.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.13 : 1,463.97 = 851.92 : x
  2. Step 2: Convert to fraction form
    1,062.13/1,463.97 = 851.92/x
  3. Step 3: Cross multiply
    1,062.13x = 1,463.97 × 851.92
  4. Step 4: Simplify right side
    1,062.13x = 1,247,185.32
  5. Step 5: Solve for x
    x = 1,247,185.32/1,062.13
  6. Step 6: Final answer
    x = 1,174.23

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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.