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Finding the Fourth Proportional to 980.28, 1,470.38 and 766.44

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Solution

The fourth proportional to 980.28, 1,470.38 and 766.44 is: 1,149.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.28 : 1,470.38 = 766.44 : x
  2. Step 2: Convert to fraction form
    980.28/1,470.38 = 766.44/x
  3. Step 3: Cross multiply
    980.28x = 1,470.38 × 766.44
  4. Step 4: Simplify right side
    980.28x = 1,126,954.22
  5. Step 5: Solve for x
    x = 1,126,954.22/980.28
  6. Step 6: Final answer
    x = 1,149.62

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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.