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Finding the Fourth Proportional to 768.63, 1,152.84 and 281.55

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Solution

The fourth proportional to 768.63, 1,152.84 and 281.55 is: 422.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.63 : 1,152.84 = 281.55 : x
  2. Step 2: Convert to fraction form
    768.63/1,152.84 = 281.55/x
  3. Step 3: Cross multiply
    768.63x = 1,152.84 × 281.55
  4. Step 4: Simplify right side
    768.63x = 324,582.10
  5. Step 5: Solve for x
    x = 324,582.10/768.63
  6. Step 6: Final answer
    x = 422.29

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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.