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Finding the Fourth Proportional to 1,199.10, 1,654.78 and 726.98

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Solution

The fourth proportional to 1,199.10, 1,654.78 and 726.98 is: 1,003.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.10 : 1,654.78 = 726.98 : x
  2. Step 2: Convert to fraction form
    1,199.10/1,654.78 = 726.98/x
  3. Step 3: Cross multiply
    1,199.10x = 1,654.78 × 726.98
  4. Step 4: Simplify right side
    1,199.10x = 1,202,991.96
  5. Step 5: Solve for x
    x = 1,202,991.96/1,199.10
  6. Step 6: Final answer
    x = 1,003.25

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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.