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Finding the Fourth Proportional to 1,202.76, 1,659.24 and 760.32

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Solution

The fourth proportional to 1,202.76, 1,659.24 and 760.32 is: 1,048.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.76 : 1,659.24 = 760.32 : x
  2. Step 2: Convert to fraction form
    1,202.76/1,659.24 = 760.32/x
  3. Step 3: Cross multiply
    1,202.76x = 1,659.24 × 760.32
  4. Step 4: Simplify right side
    1,202.76x = 1,261,553.36
  5. Step 5: Solve for x
    x = 1,261,553.36/1,202.76
  6. Step 6: Final answer
    x = 1,048.88

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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.