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Finding the Fourth Proportional to 706.91, 1,059.90 and 273.96

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Solution

The fourth proportional to 706.91, 1,059.90 and 273.96 is: 410.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.91 : 1,059.90 = 273.96 : x
  2. Step 2: Convert to fraction form
    706.91/1,059.90 = 273.96/x
  3. Step 3: Cross multiply
    706.91x = 1,059.90 × 273.96
  4. Step 4: Simplify right side
    706.91x = 290,370.20
  5. Step 5: Solve for x
    x = 290,370.20/706.91
  6. Step 6: Final answer
    x = 410.76

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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.