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Finding the Fourth Proportional to 733.07, 1,099.76 and 245.99

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Solution

The fourth proportional to 733.07, 1,099.76 and 245.99 is: 369.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.07 : 1,099.76 = 245.99 : x
  2. Step 2: Convert to fraction form
    733.07/1,099.76 = 245.99/x
  3. Step 3: Cross multiply
    733.07x = 1,099.76 × 245.99
  4. Step 4: Simplify right side
    733.07x = 270,523.23
  5. Step 5: Solve for x
    x = 270,523.23/733.07
  6. Step 6: Final answer
    x = 369.03

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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.