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Finding the Fourth Proportional to 768.95, 1,153.43 and 281.80

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Solution

The fourth proportional to 768.95, 1,153.43 and 281.80 is: 422.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.95 : 1,153.43 = 281.80 : x
  2. Step 2: Convert to fraction form
    768.95/1,153.43 = 281.80/x
  3. Step 3: Cross multiply
    768.95x = 1,153.43 × 281.80
  4. Step 4: Simplify right side
    768.95x = 325,036.57
  5. Step 5: Solve for x
    x = 325,036.57/768.95
  6. Step 6: Final answer
    x = 422.70

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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.