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Finding the Fourth Proportional to 755.93, 1,043.24 and 461.13

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Solution

The fourth proportional to 755.93, 1,043.24 and 461.13 is: 636.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.93 : 1,043.24 = 461.13 : x
  2. Step 2: Convert to fraction form
    755.93/1,043.24 = 461.13/x
  3. Step 3: Cross multiply
    755.93x = 1,043.24 × 461.13
  4. Step 4: Simplify right side
    755.93x = 481,069.26
  5. Step 5: Solve for x
    x = 481,069.26/755.93
  6. Step 6: Final answer
    x = 636.39

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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.