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Finding the Fourth Proportional to 684.67, 1,027.00 and 273.90

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Solution

The fourth proportional to 684.67, 1,027.00 and 273.90 is: 410.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.67 : 1,027.00 = 273.90 : x
  2. Step 2: Convert to fraction form
    684.67/1,027.00 = 273.90/x
  3. Step 3: Cross multiply
    684.67x = 1,027.00 × 273.90
  4. Step 4: Simplify right side
    684.67x = 281,297.57
  5. Step 5: Solve for x
    x = 281,297.57/684.67
  6. Step 6: Final answer
    x = 410.85

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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.