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Finding the Fourth Proportional to 694.35, 1,036.52 and 643.68

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Solution

The fourth proportional to 694.35, 1,036.52 and 643.68 is: 960.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.35 : 1,036.52 = 643.68 : x
  2. Step 2: Convert to fraction form
    694.35/1,036.52 = 643.68/x
  3. Step 3: Cross multiply
    694.35x = 1,036.52 × 643.68
  4. Step 4: Simplify right side
    694.35x = 667,183.98
  5. Step 5: Solve for x
    x = 667,183.98/694.35
  6. Step 6: Final answer
    x = 960.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.