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Finding the Fourth Proportional to 726.18, 1,089.34 and 264.14

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Solution

The fourth proportional to 726.18, 1,089.34 and 264.14 is: 396.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.18 : 1,089.34 = 264.14 : x
  2. Step 2: Convert to fraction form
    726.18/1,089.34 = 264.14/x
  3. Step 3: Cross multiply
    726.18x = 1,089.34 × 264.14
  4. Step 4: Simplify right side
    726.18x = 287,738.27
  5. Step 5: Solve for x
    x = 287,738.27/726.18
  6. Step 6: Final answer
    x = 396.24

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Why These Related Problems?

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