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Finding the Fourth Proportional to 685.20, 1,027.71 and 274.58

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Solution

The fourth proportional to 685.20, 1,027.71 and 274.58 is: 411.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.20 : 1,027.71 = 274.58 : x
  2. Step 2: Convert to fraction form
    685.20/1,027.71 = 274.58/x
  3. Step 3: Cross multiply
    685.20x = 1,027.71 × 274.58
  4. Step 4: Simplify right side
    685.20x = 282,183.47
  5. Step 5: Solve for x
    x = 282,183.47/685.20
  6. Step 6: Final answer
    x = 411.83

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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.