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Finding the Fourth Proportional to 706.71, 1,060.56 and 273.86

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Solution

The fourth proportional to 706.71, 1,060.56 and 273.86 is: 410.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.71 : 1,060.56 = 273.86 : x
  2. Step 2: Convert to fraction form
    706.71/1,060.56 = 273.86/x
  3. Step 3: Cross multiply
    706.71x = 1,060.56 × 273.86
  4. Step 4: Simplify right side
    706.71x = 290,439.66
  5. Step 5: Solve for x
    x = 290,439.66/706.71
  6. Step 6: Final answer
    x = 410.97

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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.