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Finding the Fourth Proportional to 684.87, 1,027.15 and 273.89

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Solution

The fourth proportional to 684.87, 1,027.15 and 273.89 is: 410.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.87 : 1,027.15 = 273.89 : x
  2. Step 2: Convert to fraction form
    684.87/1,027.15 = 273.89/x
  3. Step 3: Cross multiply
    684.87x = 1,027.15 × 273.89
  4. Step 4: Simplify right side
    684.87x = 281,328.00
  5. Step 5: Solve for x
    x = 281,328.00/684.87
  6. Step 6: Final answer
    x = 410.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.