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Finding the Fourth Proportional to 684.87, 1,027.26 and 197.85

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Solution

The fourth proportional to 684.87, 1,027.26 and 197.85 is: 296.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.87 : 1,027.26 = 197.85 : x
  2. Step 2: Convert to fraction form
    684.87/1,027.26 = 197.85/x
  3. Step 3: Cross multiply
    684.87x = 1,027.26 × 197.85
  4. Step 4: Simplify right side
    684.87x = 203,243.39
  5. Step 5: Solve for x
    x = 203,243.39/684.87
  6. Step 6: Final answer
    x = 296.76

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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.