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Finding the Fourth Proportional to 1,448.28, 2,172.42 and 582.39

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Solution

The fourth proportional to 1,448.28, 2,172.42 and 582.39 is: 873.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.28 : 2,172.42 = 582.39 : x
  2. Step 2: Convert to fraction form
    1,448.28/2,172.42 = 582.39/x
  3. Step 3: Cross multiply
    1,448.28x = 2,172.42 × 582.39
  4. Step 4: Simplify right side
    1,448.28x = 1,265,195.68
  5. Step 5: Solve for x
    x = 1,265,195.68/1,448.28
  6. Step 6: Final answer
    x = 873.59

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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.