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Finding the Fourth Proportional to 1,180.90, 1,769.73 and 769.42

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Solution

The fourth proportional to 1,180.90, 1,769.73 and 769.42 is: 1,153.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.90 : 1,769.73 = 769.42 : x
  2. Step 2: Convert to fraction form
    1,180.90/1,769.73 = 769.42/x
  3. Step 3: Cross multiply
    1,180.90x = 1,769.73 × 769.42
  4. Step 4: Simplify right side
    1,180.90x = 1,361,665.66
  5. Step 5: Solve for x
    x = 1,361,665.66/1,180.90
  6. Step 6: Final answer
    x = 1,153.07

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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.