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Finding the Fourth Proportional to 1,198.80, 1,796.76 and 650.16

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Solution

The fourth proportional to 1,198.80, 1,796.76 and 650.16 is: 974.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.80 : 1,796.76 = 650.16 : x
  2. Step 2: Convert to fraction form
    1,198.80/1,796.76 = 650.16/x
  3. Step 3: Cross multiply
    1,198.80x = 1,796.76 × 650.16
  4. Step 4: Simplify right side
    1,198.80x = 1,168,181.48
  5. Step 5: Solve for x
    x = 1,168,181.48/1,198.80
  6. Step 6: Final answer
    x = 974.46

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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.