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Finding the Fourth Proportional to 1,242.11, 1,713.56 and 769.88

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Solution

The fourth proportional to 1,242.11, 1,713.56 and 769.88 is: 1,062.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.11 : 1,713.56 = 769.88 : x
  2. Step 2: Convert to fraction form
    1,242.11/1,713.56 = 769.88/x
  3. Step 3: Cross multiply
    1,242.11x = 1,713.56 × 769.88
  4. Step 4: Simplify right side
    1,242.11x = 1,319,235.57
  5. Step 5: Solve for x
    x = 1,319,235.57/1,242.11
  6. Step 6: Final answer
    x = 1,062.09

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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.