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Finding the Fourth Proportional to 706.67, 1,060.19 and 219.73

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Solution

The fourth proportional to 706.67, 1,060.19 and 219.73 is: 329.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.67 : 1,060.19 = 219.73 : x
  2. Step 2: Convert to fraction form
    706.67/1,060.19 = 219.73/x
  3. Step 3: Cross multiply
    706.67x = 1,060.19 × 219.73
  4. Step 4: Simplify right side
    706.67x = 232,949.15
  5. Step 5: Solve for x
    x = 232,949.15/706.67
  6. Step 6: Final answer
    x = 329.64

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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.