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Finding the Fourth Proportional to 742.03, 1,112.82 and 254.97

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Solution

The fourth proportional to 742.03, 1,112.82 and 254.97 is: 382.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.03 : 1,112.82 = 254.97 : x
  2. Step 2: Convert to fraction form
    742.03/1,112.82 = 254.97/x
  3. Step 3: Cross multiply
    742.03x = 1,112.82 × 254.97
  4. Step 4: Simplify right side
    742.03x = 283,735.72
  5. Step 5: Solve for x
    x = 283,735.72/742.03
  6. Step 6: Final answer
    x = 382.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.