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Finding the Fourth Proportional to 843.76, 1,265.50 and 266.50

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Solution

The fourth proportional to 843.76, 1,265.50 and 266.50 is: 399.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.76 : 1,265.50 = 266.50 : x
  2. Step 2: Convert to fraction form
    843.76/1,265.50 = 266.50/x
  3. Step 3: Cross multiply
    843.76x = 1,265.50 × 266.50
  4. Step 4: Simplify right side
    843.76x = 337,255.75
  5. Step 5: Solve for x
    x = 337,255.75/843.76
  6. Step 6: Final answer
    x = 399.71

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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.