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Finding the Fourth Proportional to 843.75, 1,265.76 and 381.78

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Solution

The fourth proportional to 843.75, 1,265.76 and 381.78 is: 572.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.75 : 1,265.76 = 381.78 : x
  2. Step 2: Convert to fraction form
    843.75/1,265.76 = 381.78/x
  3. Step 3: Cross multiply
    843.75x = 1,265.76 × 381.78
  4. Step 4: Simplify right side
    843.75x = 483,241.85
  5. Step 5: Solve for x
    x = 483,241.85/843.75
  6. Step 6: Final answer
    x = 572.73

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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.