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Finding the Fourth Proportional to 683.56, 1,024.89 and 272.44

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Solution

The fourth proportional to 683.56, 1,024.89 and 272.44 is: 408.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.56 : 1,024.89 = 272.44 : x
  2. Step 2: Convert to fraction form
    683.56/1,024.89 = 272.44/x
  3. Step 3: Cross multiply
    683.56x = 1,024.89 × 272.44
  4. Step 4: Simplify right side
    683.56x = 279,221.03
  5. Step 5: Solve for x
    x = 279,221.03/683.56
  6. Step 6: Final answer
    x = 408.48

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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.