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Finding the Fourth Proportional to 769.15, 1,152.78 and 422.20

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Solution

The fourth proportional to 769.15, 1,152.78 and 422.20 is: 632.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.15 : 1,152.78 = 422.20 : x
  2. Step 2: Convert to fraction form
    769.15/1,152.78 = 422.20/x
  3. Step 3: Cross multiply
    769.15x = 1,152.78 × 422.20
  4. Step 4: Simplify right side
    769.15x = 486,703.72
  5. Step 5: Solve for x
    x = 486,703.72/769.15
  6. Step 6: Final answer
    x = 632.78

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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.