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Finding the Fourth Proportional to 1,102.32, 1,522.80 and 754.56

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Solution

The fourth proportional to 1,102.32, 1,522.80 and 754.56 is: 1,042.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.32 : 1,522.80 = 754.56 : x
  2. Step 2: Convert to fraction form
    1,102.32/1,522.80 = 754.56/x
  3. Step 3: Cross multiply
    1,102.32x = 1,522.80 × 754.56
  4. Step 4: Simplify right side
    1,102.32x = 1,149,043.97
  5. Step 5: Solve for x
    x = 1,149,043.97/1,102.32
  6. Step 6: Final answer
    x = 1,042.39

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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.