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Finding the Fourth Proportional to 1,198.26, 1,653.62 and 674.32

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Solution

The fourth proportional to 1,198.26, 1,653.62 and 674.32 is: 930.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.26 : 1,653.62 = 674.32 : x
  2. Step 2: Convert to fraction form
    1,198.26/1,653.62 = 674.32/x
  3. Step 3: Cross multiply
    1,198.26x = 1,653.62 × 674.32
  4. Step 4: Simplify right side
    1,198.26x = 1,115,069.04
  5. Step 5: Solve for x
    x = 1,115,069.04/1,198.26
  6. Step 6: Final answer
    x = 930.57

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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.