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Finding the Fourth Proportional to 1,202.18, 1,659.12 and 754.12

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Solution

The fourth proportional to 1,202.18, 1,659.12 and 754.12 is: 1,040.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.18 : 1,659.12 = 754.12 : x
  2. Step 2: Convert to fraction form
    1,202.18/1,659.12 = 754.12/x
  3. Step 3: Cross multiply
    1,202.18x = 1,659.12 × 754.12
  4. Step 4: Simplify right side
    1,202.18x = 1,251,175.57
  5. Step 5: Solve for x
    x = 1,251,175.57/1,202.18
  6. Step 6: Final answer
    x = 1,040.76

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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.