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Finding the Fourth Proportional to 1,198.23, 1,653.72 and 726.31

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Solution

The fourth proportional to 1,198.23, 1,653.72 and 726.31 is: 1,002.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.23 : 1,653.72 = 726.31 : x
  2. Step 2: Convert to fraction form
    1,198.23/1,653.72 = 726.31/x
  3. Step 3: Cross multiply
    1,198.23x = 1,653.72 × 726.31
  4. Step 4: Simplify right side
    1,198.23x = 1,201,109.74
  5. Step 5: Solve for x
    x = 1,201,109.74/1,198.23
  6. Step 6: Final answer
    x = 1,002.41

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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.