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Finding the Fourth Proportional to 1,092.20, 1,634.70 and 768.20

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Solution

The fourth proportional to 1,092.20, 1,634.70 and 768.20 is: 1,149.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.20 : 1,634.70 = 768.20 : x
  2. Step 2: Convert to fraction form
    1,092.20/1,634.70 = 768.20/x
  3. Step 3: Cross multiply
    1,092.20x = 1,634.70 × 768.20
  4. Step 4: Simplify right side
    1,092.20x = 1,255,776.54
  5. Step 5: Solve for x
    x = 1,255,776.54/1,092.20
  6. Step 6: Final answer
    x = 1,149.77

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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.