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Finding the Fourth Proportional to 1,149.45, 1,723.20 and 418.60

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Solution

The fourth proportional to 1,149.45, 1,723.20 and 418.60 is: 627.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.45 : 1,723.20 = 418.60 : x
  2. Step 2: Convert to fraction form
    1,149.45/1,723.20 = 418.60/x
  3. Step 3: Cross multiply
    1,149.45x = 1,723.20 × 418.60
  4. Step 4: Simplify right side
    1,149.45x = 721,331.52
  5. Step 5: Solve for x
    x = 721,331.52/1,149.45
  6. Step 6: Final answer
    x = 627.54

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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.