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Finding the Fourth Proportional to 754.97, 1,042.22 and 475.34

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Solution

The fourth proportional to 754.97, 1,042.22 and 475.34 is: 656.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.97 : 1,042.22 = 475.34 : x
  2. Step 2: Convert to fraction form
    754.97/1,042.22 = 475.34/x
  3. Step 3: Cross multiply
    754.97x = 1,042.22 × 475.34
  4. Step 4: Simplify right side
    754.97x = 495,408.85
  5. Step 5: Solve for x
    x = 495,408.85/754.97
  6. Step 6: Final answer
    x = 656.20

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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.