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Finding the Fourth Proportional to 1,191.84, 1,644.84 and 726.36

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Solution

The fourth proportional to 1,191.84, 1,644.84 and 726.36 is: 1,002.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.84 : 1,644.84 = 726.36 : x
  2. Step 2: Convert to fraction form
    1,191.84/1,644.84 = 726.36/x
  3. Step 3: Cross multiply
    1,191.84x = 1,644.84 × 726.36
  4. Step 4: Simplify right side
    1,191.84x = 1,194,745.98
  5. Step 5: Solve for x
    x = 1,194,745.98/1,191.84
  6. Step 6: Final answer
    x = 1,002.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.