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Finding the Fourth Proportional to 843.44, 1,265.62 and 381.18

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Solution

The fourth proportional to 843.44, 1,265.62 and 381.18 is: 571.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.44 : 1,265.62 = 381.18 : x
  2. Step 2: Convert to fraction form
    843.44/1,265.62 = 381.18/x
  3. Step 3: Cross multiply
    843.44x = 1,265.62 × 381.18
  4. Step 4: Simplify right side
    843.44x = 482,428.91
  5. Step 5: Solve for x
    x = 482,428.91/843.44
  6. Step 6: Final answer
    x = 571.98

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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.