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Finding the Fourth Proportional to 768.70, 1,153.08 and 281.68

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Solution

The fourth proportional to 768.70, 1,153.08 and 281.68 is: 422.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.70 : 1,153.08 = 281.68 : x
  2. Step 2: Convert to fraction form
    768.70/1,153.08 = 281.68/x
  3. Step 3: Cross multiply
    768.70x = 1,153.08 × 281.68
  4. Step 4: Simplify right side
    768.70x = 324,799.57
  5. Step 5: Solve for x
    x = 324,799.57/768.70
  6. Step 6: Final answer
    x = 422.53

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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.