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Finding the Fourth Proportional to 1,198.26, 1,653.66 and 756.18

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Solution

The fourth proportional to 1,198.26, 1,653.66 and 756.18 is: 1,043.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.26 : 1,653.66 = 756.18 : x
  2. Step 2: Convert to fraction form
    1,198.26/1,653.66 = 756.18/x
  3. Step 3: Cross multiply
    1,198.26x = 1,653.66 × 756.18
  4. Step 4: Simplify right side
    1,198.26x = 1,250,464.62
  5. Step 5: Solve for x
    x = 1,250,464.62/1,198.26
  6. Step 6: Final answer
    x = 1,043.57

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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.