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Finding the Fourth Proportional to 816.75, 1,224.25 and 268.78

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Solution

The fourth proportional to 816.75, 1,224.25 and 268.78 is: 402.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.75 : 1,224.25 = 268.78 : x
  2. Step 2: Convert to fraction form
    816.75/1,224.25 = 268.78/x
  3. Step 3: Cross multiply
    816.75x = 1,224.25 × 268.78
  4. Step 4: Simplify right side
    816.75x = 329,053.92
  5. Step 5: Solve for x
    x = 329,053.92/816.75
  6. Step 6: Final answer
    x = 402.88

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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.