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Finding the Fourth Proportional to 1,324.80, 1,986.96 and 447.22

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Solution

The fourth proportional to 1,324.80, 1,986.96 and 447.22 is: 670.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.80 : 1,986.96 = 447.22 : x
  2. Step 2: Convert to fraction form
    1,324.80/1,986.96 = 447.22/x
  3. Step 3: Cross multiply
    1,324.80x = 1,986.96 × 447.22
  4. Step 4: Simplify right side
    1,324.80x = 888,608.25
  5. Step 5: Solve for x
    x = 888,608.25/1,324.80
  6. Step 6: Final answer
    x = 670.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.