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Finding the Fourth Proportional to 843.77, 1,265.56 and 227.43

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Solution

The fourth proportional to 843.77, 1,265.56 and 227.43 is: 341.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.77 : 1,265.56 = 227.43 : x
  2. Step 2: Convert to fraction form
    843.77/1,265.56 = 227.43/x
  3. Step 3: Cross multiply
    843.77x = 1,265.56 × 227.43
  4. Step 4: Simplify right side
    843.77x = 287,825.74
  5. Step 5: Solve for x
    x = 287,825.74/843.77
  6. Step 6: Final answer
    x = 341.12

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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.