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Finding the Fourth Proportional to 733.58, 1,099.33 and 270.89

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Solution

The fourth proportional to 733.58, 1,099.33 and 270.89 is: 405.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.58 : 1,099.33 = 270.89 : x
  2. Step 2: Convert to fraction form
    733.58/1,099.33 = 270.89/x
  3. Step 3: Cross multiply
    733.58x = 1,099.33 × 270.89
  4. Step 4: Simplify right side
    733.58x = 297,797.50
  5. Step 5: Solve for x
    x = 297,797.50/733.58
  6. Step 6: Final answer
    x = 405.95

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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.