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Finding the Fourth Proportional to 684.82, 1,027.14 and 273.97

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Solution

The fourth proportional to 684.82, 1,027.14 and 273.97 is: 410.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.82 : 1,027.14 = 273.97 : x
  2. Step 2: Convert to fraction form
    684.82/1,027.14 = 273.97/x
  3. Step 3: Cross multiply
    684.82x = 1,027.14 × 273.97
  4. Step 4: Simplify right side
    684.82x = 281,405.55
  5. Step 5: Solve for x
    x = 281,405.55/684.82
  6. Step 6: Final answer
    x = 410.92

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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.