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Finding the Fourth Proportional to 1,454.09, 2,181.44 and 712.97

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Solution

The fourth proportional to 1,454.09, 2,181.44 and 712.97 is: 1,069.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.09 : 2,181.44 = 712.97 : x
  2. Step 2: Convert to fraction form
    1,454.09/2,181.44 = 712.97/x
  3. Step 3: Cross multiply
    1,454.09x = 2,181.44 × 712.97
  4. Step 4: Simplify right side
    1,454.09x = 1,555,286.80
  5. Step 5: Solve for x
    x = 1,555,286.80/1,454.09
  6. Step 6: Final answer
    x = 1,069.60

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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.