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Finding the Fourth Proportional to 769.14, 1,061.42 and 419.84

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Solution

The fourth proportional to 769.14, 1,061.42 and 419.84 is: 579.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.14 : 1,061.42 = 419.84 : x
  2. Step 2: Convert to fraction form
    769.14/1,061.42 = 419.84/x
  3. Step 3: Cross multiply
    769.14x = 1,061.42 × 419.84
  4. Step 4: Simplify right side
    769.14x = 445,626.57
  5. Step 5: Solve for x
    x = 445,626.57/769.14
  6. Step 6: Final answer
    x = 579.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.