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Finding the Fourth Proportional to 768.46, 1,153.14 and 281.56

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Solution

The fourth proportional to 768.46, 1,153.14 and 281.56 is: 422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.46 : 1,153.14 = 281.56 : x
  2. Step 2: Convert to fraction form
    768.46/1,153.14 = 281.56/x
  3. Step 3: Cross multiply
    768.46x = 1,153.14 × 281.56
  4. Step 4: Simplify right side
    768.46x = 324,678.10
  5. Step 5: Solve for x
    x = 324,678.10/768.46
  6. Step 6: Final answer
    x = 422.50

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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.