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Finding the Fourth Proportional to 817.28, 1,224.96 and 452.24

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Solution

The fourth proportional to 817.28, 1,224.96 and 452.24 is: 677.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.28 : 1,224.96 = 452.24 : x
  2. Step 2: Convert to fraction form
    817.28/1,224.96 = 452.24/x
  3. Step 3: Cross multiply
    817.28x = 1,224.96 × 452.24
  4. Step 4: Simplify right side
    817.28x = 553,975.91
  5. Step 5: Solve for x
    x = 553,975.91/817.28
  6. Step 6: Final answer
    x = 677.83

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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.