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Finding the Fourth Proportional to 741.76, 1,112.64 and 254.95

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Solution

The fourth proportional to 741.76, 1,112.64 and 254.95 is: 382.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.76 : 1,112.64 = 254.95 : x
  2. Step 2: Convert to fraction form
    741.76/1,112.64 = 254.95/x
  3. Step 3: Cross multiply
    741.76x = 1,112.64 × 254.95
  4. Step 4: Simplify right side
    741.76x = 283,667.57
  5. Step 5: Solve for x
    x = 283,667.57/741.76
  6. Step 6: Final answer
    x = 382.43

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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.