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Finding the Fourth Proportional to 1,198.71, 1,654.45 and 726.86

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Solution

The fourth proportional to 1,198.71, 1,654.45 and 726.86 is: 1,003.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.71 : 1,654.45 = 726.86 : x
  2. Step 2: Convert to fraction form
    1,198.71/1,654.45 = 726.86/x
  3. Step 3: Cross multiply
    1,198.71x = 1,654.45 × 726.86
  4. Step 4: Simplify right side
    1,198.71x = 1,202,552.87
  5. Step 5: Solve for x
    x = 1,202,552.87/1,198.71
  6. Step 6: Final answer
    x = 1,003.21

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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.