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Finding the Fourth Proportional to 726.36, 1,002.13 and 411.59

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Solution

The fourth proportional to 726.36, 1,002.13 and 411.59 is: 567.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.36 : 1,002.13 = 411.59 : x
  2. Step 2: Convert to fraction form
    726.36/1,002.13 = 411.59/x
  3. Step 3: Cross multiply
    726.36x = 1,002.13 × 411.59
  4. Step 4: Simplify right side
    726.36x = 412,466.69
  5. Step 5: Solve for x
    x = 412,466.69/726.36
  6. Step 6: Final answer
    x = 567.85

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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.