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Finding the Fourth Proportional to 1,198.10, 1,650.56 and 964.82

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Solution

The fourth proportional to 1,198.10, 1,650.56 and 964.82 is: 1,329.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.10 : 1,650.56 = 964.82 : x
  2. Step 2: Convert to fraction form
    1,198.10/1,650.56 = 964.82/x
  3. Step 3: Cross multiply
    1,198.10x = 1,650.56 × 964.82
  4. Step 4: Simplify right side
    1,198.10x = 1,592,493.30
  5. Step 5: Solve for x
    x = 1,592,493.30/1,198.10
  6. Step 6: Final answer
    x = 1,329.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.