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Finding the Fourth Proportional to 1,448.75, 2,173.25 and 408.76

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Solution

The fourth proportional to 1,448.75, 2,173.25 and 408.76 is: 613.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.75 : 2,173.25 = 408.76 : x
  2. Step 2: Convert to fraction form
    1,448.75/2,173.25 = 408.76/x
  3. Step 3: Cross multiply
    1,448.75x = 2,173.25 × 408.76
  4. Step 4: Simplify right side
    1,448.75x = 888,333.26
  5. Step 5: Solve for x
    x = 888,333.26/1,448.75
  6. Step 6: Final answer
    x = 613.17

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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.