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Finding the Fourth Proportional to 684.69, 1,027.17 and 197.76

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Solution

The fourth proportional to 684.69, 1,027.17 and 197.76 is: 296.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.69 : 1,027.17 = 197.76 : x
  2. Step 2: Convert to fraction form
    684.69/1,027.17 = 197.76/x
  3. Step 3: Cross multiply
    684.69x = 1,027.17 × 197.76
  4. Step 4: Simplify right side
    684.69x = 203,133.14
  5. Step 5: Solve for x
    x = 203,133.14/684.69
  6. Step 6: Final answer
    x = 296.68

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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.