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Finding the Fourth Proportional to 755.89, 1,042.99 and 461.25

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Solution

The fourth proportional to 755.89, 1,042.99 and 461.25 is: 636.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.89 : 1,042.99 = 461.25 : x
  2. Step 2: Convert to fraction form
    755.89/1,042.99 = 461.25/x
  3. Step 3: Cross multiply
    755.89x = 1,042.99 × 461.25
  4. Step 4: Simplify right side
    755.89x = 481,079.14
  5. Step 5: Solve for x
    x = 481,079.14/755.89
  6. Step 6: Final answer
    x = 636.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.