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Finding the Fourth Proportional to 684.88, 1,027.19 and 197.86

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Solution

The fourth proportional to 684.88, 1,027.19 and 197.86 is: 296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.88 : 1,027.19 = 197.86 : x
  2. Step 2: Convert to fraction form
    684.88/1,027.19 = 197.86/x
  3. Step 3: Cross multiply
    684.88x = 1,027.19 × 197.86
  4. Step 4: Simplify right side
    684.88x = 203,233.69
  5. Step 5: Solve for x
    x = 203,233.69/684.88
  6. Step 6: Final answer
    x = 296.75

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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.