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Finding the Fourth Proportional to 697.91, 967.71 and 674.78

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Solution

The fourth proportional to 697.91, 967.71 and 674.78 is: 935.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.91 : 967.71 = 674.78 : x
  2. Step 2: Convert to fraction form
    697.91/967.71 = 674.78/x
  3. Step 3: Cross multiply
    697.91x = 967.71 × 674.78
  4. Step 4: Simplify right side
    697.91x = 652,986.52
  5. Step 5: Solve for x
    x = 652,986.52/697.91
  6. Step 6: Final answer
    x = 935.64

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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.