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Finding the Fourth Proportional to 726.59, 1,089.25 and 264.29

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Solution

The fourth proportional to 726.59, 1,089.25 and 264.29 is: 396.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.59 : 1,089.25 = 264.29 : x
  2. Step 2: Convert to fraction form
    726.59/1,089.25 = 264.29/x
  3. Step 3: Cross multiply
    726.59x = 1,089.25 × 264.29
  4. Step 4: Simplify right side
    726.59x = 287,871.78
  5. Step 5: Solve for x
    x = 287,871.78/726.59
  6. Step 6: Final answer
    x = 396.19

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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.