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Finding the Fourth Proportional to 768.82, 1,153.35 and 281.76

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Solution

The fourth proportional to 768.82, 1,153.35 and 281.76 is: 422.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.82 : 1,153.35 = 281.76 : x
  2. Step 2: Convert to fraction form
    768.82/1,153.35 = 281.76/x
  3. Step 3: Cross multiply
    768.82x = 1,153.35 × 281.76
  4. Step 4: Simplify right side
    768.82x = 324,962.13
  5. Step 5: Solve for x
    x = 324,962.13/768.82
  6. Step 6: Final answer
    x = 422.68

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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.