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Finding the Fourth Proportional to 684.65, 1,027.54 and 273.78

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Solution

The fourth proportional to 684.65, 1,027.54 and 273.78 is: 410.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.65 : 1,027.54 = 273.78 : x
  2. Step 2: Convert to fraction form
    684.65/1,027.54 = 273.78/x
  3. Step 3: Cross multiply
    684.65x = 1,027.54 × 273.78
  4. Step 4: Simplify right side
    684.65x = 281,318.70
  5. Step 5: Solve for x
    x = 281,318.70/684.65
  6. Step 6: Final answer
    x = 410.89

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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.