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Finding the Fourth Proportional to 1,448.80, 2,171.30 and 668.69

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Solution

The fourth proportional to 1,448.80, 2,171.30 and 668.69 is: 1,002.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.80 : 2,171.30 = 668.69 : x
  2. Step 2: Convert to fraction form
    1,448.80/2,171.30 = 668.69/x
  3. Step 3: Cross multiply
    1,448.80x = 2,171.30 × 668.69
  4. Step 4: Simplify right side
    1,448.80x = 1,451,920.54
  5. Step 5: Solve for x
    x = 1,451,920.54/1,448.80
  6. Step 6: Final answer
    x = 1,002.16

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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.