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Finding the Fourth Proportional to 1,627.25, 2,439.15 and 531.32

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Solution

The fourth proportional to 1,627.25, 2,439.15 and 531.32 is: 796.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.25 : 2,439.15 = 531.32 : x
  2. Step 2: Convert to fraction form
    1,627.25/2,439.15 = 531.32/x
  3. Step 3: Cross multiply
    1,627.25x = 2,439.15 × 531.32
  4. Step 4: Simplify right side
    1,627.25x = 1,295,954.99
  5. Step 5: Solve for x
    x = 1,295,954.99/1,627.25
  6. Step 6: Final answer
    x = 796.41

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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.