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Finding the Fourth Proportional to 726.22, 1,002.21 and 411.50

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Solution

The fourth proportional to 726.22, 1,002.21 and 411.50 is: 567.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.22 : 1,002.21 = 411.50 : x
  2. Step 2: Convert to fraction form
    726.22/1,002.21 = 411.50/x
  3. Step 3: Cross multiply
    726.22x = 1,002.21 × 411.50
  4. Step 4: Simplify right side
    726.22x = 412,408.21
  5. Step 5: Solve for x
    x = 412,408.21/726.22
  6. Step 6: Final answer
    x = 567.88

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Why These Related Problems?

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