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Finding the Fourth Proportional to 768.45, 1,153.13 and 281.53

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Solution

The fourth proportional to 768.45, 1,153.13 and 281.53 is: 422.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.45 : 1,153.13 = 281.53 : x
  2. Step 2: Convert to fraction form
    768.45/1,153.13 = 281.53/x
  3. Step 3: Cross multiply
    768.45x = 1,153.13 × 281.53
  4. Step 4: Simplify right side
    768.45x = 324,640.69
  5. Step 5: Solve for x
    x = 324,640.69/768.45
  6. Step 6: Final answer
    x = 422.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.