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Finding the Fourth Proportional to 726.53, 1,002.61 and 411.84

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Solution

The fourth proportional to 726.53, 1,002.61 and 411.84 is: 568.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.53 : 1,002.61 = 411.84 : x
  2. Step 2: Convert to fraction form
    726.53/1,002.61 = 411.84/x
  3. Step 3: Cross multiply
    726.53x = 1,002.61 × 411.84
  4. Step 4: Simplify right side
    726.53x = 412,913.87
  5. Step 5: Solve for x
    x = 412,913.87/726.53
  6. Step 6: Final answer
    x = 568.34

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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.