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Finding the Fourth Proportional to 1,198.24, 1,653.22 and 694.04

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Solution

The fourth proportional to 1,198.24, 1,653.22 and 694.04 is: 957.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.24 : 1,653.22 = 694.04 : x
  2. Step 2: Convert to fraction form
    1,198.24/1,653.22 = 694.04/x
  3. Step 3: Cross multiply
    1,198.24x = 1,653.22 × 694.04
  4. Step 4: Simplify right side
    1,198.24x = 1,147,403.21
  5. Step 5: Solve for x
    x = 1,147,403.21/1,198.24
  6. Step 6: Final answer
    x = 957.58

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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.