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Finding the Fourth Proportional to 754.26, 1,040.96 and 422.77

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Solution

The fourth proportional to 754.26, 1,040.96 and 422.77 is: 583.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.26 : 1,040.96 = 422.77 : x
  2. Step 2: Convert to fraction form
    754.26/1,040.96 = 422.77/x
  3. Step 3: Cross multiply
    754.26x = 1,040.96 × 422.77
  4. Step 4: Simplify right side
    754.26x = 440,086.66
  5. Step 5: Solve for x
    x = 440,086.66/754.26
  6. Step 6: Final answer
    x = 583.47

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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.