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Finding the Fourth Proportional to 817.88, 1,227.42 and 452.30

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Solution

The fourth proportional to 817.88, 1,227.42 and 452.30 is: 678.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.88 : 1,227.42 = 452.30 : x
  2. Step 2: Convert to fraction form
    817.88/1,227.42 = 452.30/x
  3. Step 3: Cross multiply
    817.88x = 1,227.42 × 452.30
  4. Step 4: Simplify right side
    817.88x = 555,155.93
  5. Step 5: Solve for x
    x = 555,155.93/817.88
  6. Step 6: Final answer
    x = 678.78

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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.