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Finding the Fourth Proportional to 1,202.98, 1,659.27 and 760.12

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Solution

The fourth proportional to 1,202.98, 1,659.27 and 760.12 is: 1,048.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.98 : 1,659.27 = 760.12 : x
  2. Step 2: Convert to fraction form
    1,202.98/1,659.27 = 760.12/x
  3. Step 3: Cross multiply
    1,202.98x = 1,659.27 × 760.12
  4. Step 4: Simplify right side
    1,202.98x = 1,261,236.02
  5. Step 5: Solve for x
    x = 1,261,236.02/1,202.98
  6. Step 6: Final answer
    x = 1,048.43

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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.