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Finding the Fourth Proportional to 1,199.10, 1,654.26 and 726.87

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Solution

The fourth proportional to 1,199.10, 1,654.26 and 726.87 is: 1,002.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.10 : 1,654.26 = 726.87 : x
  2. Step 2: Convert to fraction form
    1,199.10/1,654.26 = 726.87/x
  3. Step 3: Cross multiply
    1,199.10x = 1,654.26 × 726.87
  4. Step 4: Simplify right side
    1,199.10x = 1,202,435.44
  5. Step 5: Solve for x
    x = 1,202,435.44/1,199.10
  6. Step 6: Final answer
    x = 1,002.78

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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.