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Finding the Fourth Proportional to 1,104.23, 1,523.31 and 754.31

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Solution

The fourth proportional to 1,104.23, 1,523.31 and 754.31 is: 1,040.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.23 : 1,523.31 = 754.31 : x
  2. Step 2: Convert to fraction form
    1,104.23/1,523.31 = 754.31/x
  3. Step 3: Cross multiply
    1,104.23x = 1,523.31 × 754.31
  4. Step 4: Simplify right side
    1,104.23x = 1,149,048.95
  5. Step 5: Solve for x
    x = 1,149,048.95/1,104.23
  6. Step 6: Final answer
    x = 1,040.59

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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.