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Finding the Fourth Proportional to 779.73, 1,170.27 and 414.78

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Solution

The fourth proportional to 779.73, 1,170.27 and 414.78 is: 622.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.73 : 1,170.27 = 414.78 : x
  2. Step 2: Convert to fraction form
    779.73/1,170.27 = 414.78/x
  3. Step 3: Cross multiply
    779.73x = 1,170.27 × 414.78
  4. Step 4: Simplify right side
    779.73x = 485,404.59
  5. Step 5: Solve for x
    x = 485,404.59/779.73
  6. Step 6: Final answer
    x = 622.53

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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.