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Finding the Fourth Proportional to 684.47, 1,027.11 and 273.54

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Solution

The fourth proportional to 684.47, 1,027.11 and 273.54 is: 410.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.47 : 1,027.11 = 273.54 : x
  2. Step 2: Convert to fraction form
    684.47/1,027.11 = 273.54/x
  3. Step 3: Cross multiply
    684.47x = 1,027.11 × 273.54
  4. Step 4: Simplify right side
    684.47x = 280,956.95
  5. Step 5: Solve for x
    x = 280,956.95/684.47
  6. Step 6: Final answer
    x = 410.48

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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.