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Finding the Fourth Proportional to 706, 1,059.06 and 193

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Solution

The fourth proportional to 706, 1,059.06 and 193 is: 289.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    706 : 1,059.06 = 193 : x
  2. Step 2: Convert to fraction form
    706/1,059.06 = 193/x
  3. Step 3: Cross multiply
    706x = 1,059.06 × 193
  4. Step 4: Simplify right side
    706x = 204,398.58
  5. Step 5: Solve for x
    x = 204,398.58/706
  6. Step 6: Final answer
    x = 289.52

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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.