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Finding the Fourth Proportional to 1,189.80, 1,640.88 and 796.80

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Solution

The fourth proportional to 1,189.80, 1,640.88 and 796.80 is: 1,098.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.80 : 1,640.88 = 796.80 : x
  2. Step 2: Convert to fraction form
    1,189.80/1,640.88 = 796.80/x
  3. Step 3: Cross multiply
    1,189.80x = 1,640.88 × 796.80
  4. Step 4: Simplify right side
    1,189.80x = 1,307,453.18
  5. Step 5: Solve for x
    x = 1,307,453.18/1,189.80
  6. Step 6: Final answer
    x = 1,098.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.