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Finding the Fourth Proportional to 696.92, 1,044.36 and 331.64

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Solution

The fourth proportional to 696.92, 1,044.36 and 331.64 is: 496.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.92 : 1,044.36 = 331.64 : x
  2. Step 2: Convert to fraction form
    696.92/1,044.36 = 331.64/x
  3. Step 3: Cross multiply
    696.92x = 1,044.36 × 331.64
  4. Step 4: Simplify right side
    696.92x = 346,351.55
  5. Step 5: Solve for x
    x = 346,351.55/696.92
  6. Step 6: Final answer
    x = 496.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.