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Finding the Fourth Proportional to 726.53, 1,089.92 and 264.34

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Solution

The fourth proportional to 726.53, 1,089.92 and 264.34 is: 396.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.53 : 1,089.92 = 264.34 : x
  2. Step 2: Convert to fraction form
    726.53/1,089.92 = 264.34/x
  3. Step 3: Cross multiply
    726.53x = 1,089.92 × 264.34
  4. Step 4: Simplify right side
    726.53x = 288,107.39
  5. Step 5: Solve for x
    x = 288,107.39/726.53
  6. Step 6: Final answer
    x = 396.55

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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.