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Finding the Fourth Proportional to 684.87, 1,027.34 and 197.92

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Solution

The fourth proportional to 684.87, 1,027.34 and 197.92 is: 296.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.87 : 1,027.34 = 197.92 : x
  2. Step 2: Convert to fraction form
    684.87/1,027.34 = 197.92/x
  3. Step 3: Cross multiply
    684.87x = 1,027.34 × 197.92
  4. Step 4: Simplify right side
    684.87x = 203,331.13
  5. Step 5: Solve for x
    x = 203,331.13/684.87
  6. Step 6: Final answer
    x = 296.89

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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.