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Finding the Fourth Proportional to 697.21, 962.24 and 674.42

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Solution

The fourth proportional to 697.21, 962.24 and 674.42 is: 930.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.21 : 962.24 = 674.42 : x
  2. Step 2: Convert to fraction form
    697.21/962.24 = 674.42/x
  3. Step 3: Cross multiply
    697.21x = 962.24 × 674.42
  4. Step 4: Simplify right side
    697.21x = 648,953.90
  5. Step 5: Solve for x
    x = 648,953.90/697.21
  6. Step 6: Final answer
    x = 930.79

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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.