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Finding the Fourth Proportional to 726.26, 1,089.37 and 178.44

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Solution

The fourth proportional to 726.26, 1,089.37 and 178.44 is: 267.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.26 : 1,089.37 = 178.44 : x
  2. Step 2: Convert to fraction form
    726.26/1,089.37 = 178.44/x
  3. Step 3: Cross multiply
    726.26x = 1,089.37 × 178.44
  4. Step 4: Simplify right side
    726.26x = 194,387.18
  5. Step 5: Solve for x
    x = 194,387.18/726.26
  6. Step 6: Final answer
    x = 267.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.