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Finding the Fourth Proportional to 1,446.56, 2,169.19 and 459.09

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Solution

The fourth proportional to 1,446.56, 2,169.19 and 459.09 is: 688.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.56 : 2,169.19 = 459.09 : x
  2. Step 2: Convert to fraction form
    1,446.56/2,169.19 = 459.09/x
  3. Step 3: Cross multiply
    1,446.56x = 2,169.19 × 459.09
  4. Step 4: Simplify right side
    1,446.56x = 995,852.29
  5. Step 5: Solve for x
    x = 995,852.29/1,446.56
  6. Step 6: Final answer
    x = 688.43

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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.