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Finding the Fourth Proportional to 754.94, 1,042.18 and 475.31

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Solution

The fourth proportional to 754.94, 1,042.18 and 475.31 is: 656.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.94 : 1,042.18 = 475.31 : x
  2. Step 2: Convert to fraction form
    754.94/1,042.18 = 475.31/x
  3. Step 3: Cross multiply
    754.94x = 1,042.18 × 475.31
  4. Step 4: Simplify right side
    754.94x = 495,350.99
  5. Step 5: Solve for x
    x = 495,350.99/754.94
  6. Step 6: Final answer
    x = 656.15

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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.