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Finding the Fourth Proportional to 769.24, 1,152.84 and 281.84

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Solution

The fourth proportional to 769.24, 1,152.84 and 281.84 is: 422.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.24 : 1,152.84 = 281.84 : x
  2. Step 2: Convert to fraction form
    769.24/1,152.84 = 281.84/x
  3. Step 3: Cross multiply
    769.24x = 1,152.84 × 281.84
  4. Step 4: Simplify right side
    769.24x = 324,916.43
  5. Step 5: Solve for x
    x = 324,916.43/769.24
  6. Step 6: Final answer
    x = 422.39

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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.