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Finding the Fourth Proportional to 1,198.04, 1,653.52 and 868

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Solution

The fourth proportional to 1,198.04, 1,653.52 and 868 is: 1,198.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.04 : 1,653.52 = 868 : x
  2. Step 2: Convert to fraction form
    1,198.04/1,653.52 = 868/x
  3. Step 3: Cross multiply
    1,198.04x = 1,653.52 × 868
  4. Step 4: Simplify right side
    1,198.04x = 1,435,255.36
  5. Step 5: Solve for x
    x = 1,435,255.36/1,198.04
  6. Step 6: Final answer
    x = 1,198.00

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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.