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Finding the Fourth Proportional to 1,224.13, 1,836.48 and 676.18

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Solution

The fourth proportional to 1,224.13, 1,836.48 and 676.18 is: 1,014.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.13 : 1,836.48 = 676.18 : x
  2. Step 2: Convert to fraction form
    1,224.13/1,836.48 = 676.18/x
  3. Step 3: Cross multiply
    1,224.13x = 1,836.48 × 676.18
  4. Step 4: Simplify right side
    1,224.13x = 1,241,791.05
  5. Step 5: Solve for x
    x = 1,241,791.05/1,224.13
  6. Step 6: Final answer
    x = 1,014.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.