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Finding the Fourth Proportional to 816.21, 1,222.23 and 450.60

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Solution

The fourth proportional to 816.21, 1,222.23 and 450.60 is: 674.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.21 : 1,222.23 = 450.60 : x
  2. Step 2: Convert to fraction form
    816.21/1,222.23 = 450.60/x
  3. Step 3: Cross multiply
    816.21x = 1,222.23 × 450.60
  4. Step 4: Simplify right side
    816.21x = 550,736.84
  5. Step 5: Solve for x
    x = 550,736.84/816.21
  6. Step 6: Final answer
    x = 674.75

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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.