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Finding the Fourth Proportional to 755.97, 1,043.16 and 461.31

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Solution

The fourth proportional to 755.97, 1,043.16 and 461.31 is: 636.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.97 : 1,043.16 = 461.31 : x
  2. Step 2: Convert to fraction form
    755.97/1,043.16 = 461.31/x
  3. Step 3: Cross multiply
    755.97x = 1,043.16 × 461.31
  4. Step 4: Simplify right side
    755.97x = 481,220.14
  5. Step 5: Solve for x
    x = 481,220.14/755.97
  6. Step 6: Final answer
    x = 636.56

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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.