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Finding the Fourth Proportional to 816.50, 1,224.85 and 268.53

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Solution

The fourth proportional to 816.50, 1,224.85 and 268.53 is: 402.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.50 : 1,224.85 = 268.53 : x
  2. Step 2: Convert to fraction form
    816.50/1,224.85 = 268.53/x
  3. Step 3: Cross multiply
    816.50x = 1,224.85 × 268.53
  4. Step 4: Simplify right side
    816.50x = 328,908.97
  5. Step 5: Solve for x
    x = 328,908.97/816.50
  6. Step 6: Final answer
    x = 402.83

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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.