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Finding the Fourth Proportional to 684.74, 1,027.14 and 197.84

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Solution

The fourth proportional to 684.74, 1,027.14 and 197.84 is: 296.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.74 : 1,027.14 = 197.84 : x
  2. Step 2: Convert to fraction form
    684.74/1,027.14 = 197.84/x
  3. Step 3: Cross multiply
    684.74x = 1,027.14 × 197.84
  4. Step 4: Simplify right side
    684.74x = 203,209.38
  5. Step 5: Solve for x
    x = 203,209.38/684.74
  6. Step 6: Final answer
    x = 296.77

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