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Finding the Fourth Proportional to 1,218.56, 1,827.78 and 449

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Solution

The fourth proportional to 1,218.56, 1,827.78 and 449 is: 673.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.56 : 1,827.78 = 449 : x
  2. Step 2: Convert to fraction form
    1,218.56/1,827.78 = 449/x
  3. Step 3: Cross multiply
    1,218.56x = 1,827.78 × 449
  4. Step 4: Simplify right side
    1,218.56x = 820,673.22
  5. Step 5: Solve for x
    x = 820,673.22/1,218.56
  6. Step 6: Final answer
    x = 673.48

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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.