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Finding the Fourth Proportional to 741.78, 1,112.87 and 254.87

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Solution

The fourth proportional to 741.78, 1,112.87 and 254.87 is: 382.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.78 : 1,112.87 = 254.87 : x
  2. Step 2: Convert to fraction form
    741.78/1,112.87 = 254.87/x
  3. Step 3: Cross multiply
    741.78x = 1,112.87 × 254.87
  4. Step 4: Simplify right side
    741.78x = 283,630.34
  5. Step 5: Solve for x
    x = 283,630.34/741.78
  6. Step 6: Final answer
    x = 382.36

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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.