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Finding the Fourth Proportional to 733.53, 1,093.83 and 726.95

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Solution

The fourth proportional to 733.53, 1,093.83 and 726.95 is: 1,084.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.53 : 1,093.83 = 726.95 : x
  2. Step 2: Convert to fraction form
    733.53/1,093.83 = 726.95/x
  3. Step 3: Cross multiply
    733.53x = 1,093.83 × 726.95
  4. Step 4: Simplify right side
    733.53x = 795,154.25
  5. Step 5: Solve for x
    x = 795,154.25/733.53
  6. Step 6: Final answer
    x = 1,084.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.