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Finding the Fourth Proportional to 884.44, 1,324.17 and 450.67

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Solution

The fourth proportional to 884.44, 1,324.17 and 450.67 is: 674.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.44 : 1,324.17 = 450.67 : x
  2. Step 2: Convert to fraction form
    884.44/1,324.17 = 450.67/x
  3. Step 3: Cross multiply
    884.44x = 1,324.17 × 450.67
  4. Step 4: Simplify right side
    884.44x = 596,763.69
  5. Step 5: Solve for x
    x = 596,763.69/884.44
  6. Step 6: Final answer
    x = 674.74

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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.