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Finding the Fourth Proportional to 769.53, 1,153.24 and 422.45

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Solution

The fourth proportional to 769.53, 1,153.24 and 422.45 is: 633.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.53 : 1,153.24 = 422.45 : x
  2. Step 2: Convert to fraction form
    769.53/1,153.24 = 422.45/x
  3. Step 3: Cross multiply
    769.53x = 1,153.24 × 422.45
  4. Step 4: Simplify right side
    769.53x = 487,183.74
  5. Step 5: Solve for x
    x = 487,183.74/769.53
  6. Step 6: Final answer
    x = 633.09

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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.