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Finding the Fourth Proportional to 1,198.25, 1,653.18 and 726.02

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Solution

The fourth proportional to 1,198.25, 1,653.18 and 726.02 is: 1,001.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.25 : 1,653.18 = 726.02 : x
  2. Step 2: Convert to fraction form
    1,198.25/1,653.18 = 726.02/x
  3. Step 3: Cross multiply
    1,198.25x = 1,653.18 × 726.02
  4. Step 4: Simplify right side
    1,198.25x = 1,200,241.74
  5. Step 5: Solve for x
    x = 1,200,241.74/1,198.25
  6. Step 6: Final answer
    x = 1,001.66

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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.