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Finding the Fourth Proportional to 1,448.39, 2,172.75 and 668.43

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Solution

The fourth proportional to 1,448.39, 2,172.75 and 668.43 is: 1,002.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.39 : 2,172.75 = 668.43 : x
  2. Step 2: Convert to fraction form
    1,448.39/2,172.75 = 668.43/x
  3. Step 3: Cross multiply
    1,448.39x = 2,172.75 × 668.43
  4. Step 4: Simplify right side
    1,448.39x = 1,452,331.28
  5. Step 5: Solve for x
    x = 1,452,331.28/1,448.39
  6. Step 6: Final answer
    x = 1,002.72

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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.