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Finding the Fourth Proportional to 697.44, 956.24 and 685.20

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Solution

The fourth proportional to 697.44, 956.24 and 685.20 is: 939.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.44 : 956.24 = 685.20 : x
  2. Step 2: Convert to fraction form
    697.44/956.24 = 685.20/x
  3. Step 3: Cross multiply
    697.44x = 956.24 × 685.20
  4. Step 4: Simplify right side
    697.44x = 655,215.65
  5. Step 5: Solve for x
    x = 655,215.65/697.44
  6. Step 6: Final answer
    x = 939.46

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.