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Finding the Fourth Proportional to 769.91, 1,154.86 and 192.78

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Solution

The fourth proportional to 769.91, 1,154.86 and 192.78 is: 289.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.91 : 1,154.86 = 192.78 : x
  2. Step 2: Convert to fraction form
    769.91/1,154.86 = 192.78/x
  3. Step 3: Cross multiply
    769.91x = 1,154.86 × 192.78
  4. Step 4: Simplify right side
    769.91x = 222,633.43
  5. Step 5: Solve for x
    x = 222,633.43/769.91
  6. Step 6: Final answer
    x = 289.17

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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.