Home / 1,119.12-1,679.52-796.80

Finding the Fourth Proportional to 1,119.12, 1,679.52 and 796.80

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Solution

The fourth proportional to 1,119.12, 1,679.52 and 796.80 is: 1,195.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.12 : 1,679.52 = 796.80 : x
  2. Step 2: Convert to fraction form
    1,119.12/1,679.52 = 796.80/x
  3. Step 3: Cross multiply
    1,119.12x = 1,679.52 × 796.80
  4. Step 4: Simplify right side
    1,119.12x = 1,338,241.54
  5. Step 5: Solve for x
    x = 1,338,241.54/1,119.12
  6. Step 6: Final answer
    x = 1,195.80

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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.