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Finding the Fourth Proportional to 755.33, 1,042.16 and 475.61

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Solution

The fourth proportional to 755.33, 1,042.16 and 475.61 is: 656.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.33 : 1,042.16 = 475.61 : x
  2. Step 2: Convert to fraction form
    755.33/1,042.16 = 475.61/x
  3. Step 3: Cross multiply
    755.33x = 1,042.16 × 475.61
  4. Step 4: Simplify right side
    755.33x = 495,654.13
  5. Step 5: Solve for x
    x = 495,654.13/755.33
  6. Step 6: Final answer
    x = 656.21

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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.