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Finding the Fourth Proportional to 1,218.56, 1,828.60 and 449.04

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Solution

The fourth proportional to 1,218.56, 1,828.60 and 449.04 is: 673.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.56 : 1,828.60 = 449.04 : x
  2. Step 2: Convert to fraction form
    1,218.56/1,828.60 = 449.04/x
  3. Step 3: Cross multiply
    1,218.56x = 1,828.60 × 449.04
  4. Step 4: Simplify right side
    1,218.56x = 821,114.54
  5. Step 5: Solve for x
    x = 821,114.54/1,218.56
  6. Step 6: Final answer
    x = 673.84

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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.