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Finding the Fourth Proportional to 693.92, 961.74 and 680.96

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Solution

The fourth proportional to 693.92, 961.74 and 680.96 is: 943.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.92 : 961.74 = 680.96 : x
  2. Step 2: Convert to fraction form
    693.92/961.74 = 680.96/x
  3. Step 3: Cross multiply
    693.92x = 961.74 × 680.96
  4. Step 4: Simplify right side
    693.92x = 654,904.22
  5. Step 5: Solve for x
    x = 654,904.22/693.92
  6. Step 6: Final answer
    x = 943.78

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.