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Finding the Fourth Proportional to 706.57, 1,059.92 and 219.49

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Solution

The fourth proportional to 706.57, 1,059.92 and 219.49 is: 329.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.57 : 1,059.92 = 219.49 : x
  2. Step 2: Convert to fraction form
    706.57/1,059.92 = 219.49/x
  3. Step 3: Cross multiply
    706.57x = 1,059.92 × 219.49
  4. Step 4: Simplify right side
    706.57x = 232,635.44
  5. Step 5: Solve for x
    x = 232,635.44/706.57
  6. Step 6: Final answer
    x = 329.25

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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.