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Finding the Fourth Proportional to 1,198.57, 1,653.91 and 884.01

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Solution

The fourth proportional to 1,198.57, 1,653.91 and 884.01 is: 1,219.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.57 : 1,653.91 = 884.01 : x
  2. Step 2: Convert to fraction form
    1,198.57/1,653.91 = 884.01/x
  3. Step 3: Cross multiply
    1,198.57x = 1,653.91 × 884.01
  4. Step 4: Simplify right side
    1,198.57x = 1,462,067.88
  5. Step 5: Solve for x
    x = 1,462,067.88/1,198.57
  6. Step 6: Final answer
    x = 1,219.84

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Why These Related Problems?

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