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Finding the Fourth Proportional to 1,196.92, 1,795.33 and 331.21

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Solution

The fourth proportional to 1,196.92, 1,795.33 and 331.21 is: 496.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.92 : 1,795.33 = 331.21 : x
  2. Step 2: Convert to fraction form
    1,196.92/1,795.33 = 331.21/x
  3. Step 3: Cross multiply
    1,196.92x = 1,795.33 × 331.21
  4. Step 4: Simplify right side
    1,196.92x = 594,631.25
  5. Step 5: Solve for x
    x = 594,631.25/1,196.92
  6. Step 6: Final answer
    x = 496.80

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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.