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Finding the Fourth Proportional to 816.57, 1,224.89 and 268.74

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Solution

The fourth proportional to 816.57, 1,224.89 and 268.74 is: 403.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.57 : 1,224.89 = 268.74 : x
  2. Step 2: Convert to fraction form
    816.57/1,224.89 = 268.74/x
  3. Step 3: Cross multiply
    816.57x = 1,224.89 × 268.74
  4. Step 4: Simplify right side
    816.57x = 329,177.61
  5. Step 5: Solve for x
    x = 329,177.61/816.57
  6. Step 6: Final answer
    x = 403.12

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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.