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Finding the Fourth Proportional to 1,310.40, 1,960.20 and 1,180.80

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Solution

The fourth proportional to 1,310.40, 1,960.20 and 1,180.80 is: 1,766.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.40 : 1,960.20 = 1,180.80 : x
  2. Step 2: Convert to fraction form
    1,310.40/1,960.20 = 1,180.80/x
  3. Step 3: Cross multiply
    1,310.40x = 1,960.20 × 1,180.80
  4. Step 4: Simplify right side
    1,310.40x = 2,314,604.16
  5. Step 5: Solve for x
    x = 2,314,604.16/1,310.40
  6. Step 6: Final answer
    x = 1,766.33

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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.