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Finding the Fourth Proportional to 1,196.30, 1,796.12 and 949.65

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Solution

The fourth proportional to 1,196.30, 1,796.12 and 949.65 is: 1,425.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.30 : 1,796.12 = 949.65 : x
  2. Step 2: Convert to fraction form
    1,196.30/1,796.12 = 949.65/x
  3. Step 3: Cross multiply
    1,196.30x = 1,796.12 × 949.65
  4. Step 4: Simplify right side
    1,196.30x = 1,705,680.61
  5. Step 5: Solve for x
    x = 1,705,680.61/1,196.30
  6. Step 6: Final answer
    x = 1,425.80

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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.