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Finding the Fourth Proportional to 769.02, 1,153.54 and 191.90

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Solution

The fourth proportional to 769.02, 1,153.54 and 191.90 is: 287.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.02 : 1,153.54 = 191.90 : x
  2. Step 2: Convert to fraction form
    769.02/1,153.54 = 191.90/x
  3. Step 3: Cross multiply
    769.02x = 1,153.54 × 191.90
  4. Step 4: Simplify right side
    769.02x = 221,364.33
  5. Step 5: Solve for x
    x = 221,364.33/769.02
  6. Step 6: Final answer
    x = 287.85

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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.