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Finding the Fourth Proportional to 706.92, 1,060.34 and 186.90

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Solution

The fourth proportional to 706.92, 1,060.34 and 186.90 is: 280.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.92 : 1,060.34 = 186.90 : x
  2. Step 2: Convert to fraction form
    706.92/1,060.34 = 186.90/x
  3. Step 3: Cross multiply
    706.92x = 1,060.34 × 186.90
  4. Step 4: Simplify right side
    706.92x = 198,177.55
  5. Step 5: Solve for x
    x = 198,177.55/706.92
  6. Step 6: Final answer
    x = 280.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.