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Finding the Fourth Proportional to 1,449.68, 2,175.12 and 627.72

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Solution

The fourth proportional to 1,449.68, 2,175.12 and 627.72 is: 941.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.68 : 2,175.12 = 627.72 : x
  2. Step 2: Convert to fraction form
    1,449.68/2,175.12 = 627.72/x
  3. Step 3: Cross multiply
    1,449.68x = 2,175.12 × 627.72
  4. Step 4: Simplify right side
    1,449.68x = 1,365,366.33
  5. Step 5: Solve for x
    x = 1,365,366.33/1,449.68
  6. Step 6: Final answer
    x = 941.84

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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.