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Finding the Fourth Proportional to 684.83, 1,027.42 and 197.92

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Solution

The fourth proportional to 684.83, 1,027.42 and 197.92 is: 296.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.83 : 1,027.42 = 197.92 : x
  2. Step 2: Convert to fraction form
    684.83/1,027.42 = 197.92/x
  3. Step 3: Cross multiply
    684.83x = 1,027.42 × 197.92
  4. Step 4: Simplify right side
    684.83x = 203,346.97
  5. Step 5: Solve for x
    x = 203,346.97/684.83
  6. Step 6: Final answer
    x = 296.93

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