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Finding the Fourth Proportional to 843.48, 1,265.22 and 381.00

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Solution

The fourth proportional to 843.48, 1,265.22 and 381.00 is: 571.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.48 : 1,265.22 = 381.00 : x
  2. Step 2: Convert to fraction form
    843.48/1,265.22 = 381.00/x
  3. Step 3: Cross multiply
    843.48x = 1,265.22 × 381.00
  4. Step 4: Simplify right side
    843.48x = 482,053.56
  5. Step 5: Solve for x
    x = 482,053.56/843.48
  6. Step 6: Final answer
    x = 571.51

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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.