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Finding the Fourth Proportional to 700.26, 966.69 and 680.82

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Solution

The fourth proportional to 700.26, 966.69 and 680.82 is: 939.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.26 : 966.69 = 680.82 : x
  2. Step 2: Convert to fraction form
    700.26/966.69 = 680.82/x
  3. Step 3: Cross multiply
    700.26x = 966.69 × 680.82
  4. Step 4: Simplify right side
    700.26x = 658,141.89
  5. Step 5: Solve for x
    x = 658,141.89/700.26
  6. Step 6: Final answer
    x = 939.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.