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Finding the Fourth Proportional to 769.26, 1,061.60 and 419.97

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Solution

The fourth proportional to 769.26, 1,061.60 and 419.97 is: 579.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.26 : 1,061.60 = 419.97 : x
  2. Step 2: Convert to fraction form
    769.26/1,061.60 = 419.97/x
  3. Step 3: Cross multiply
    769.26x = 1,061.60 × 419.97
  4. Step 4: Simplify right side
    769.26x = 445,840.15
  5. Step 5: Solve for x
    x = 445,840.15/769.26
  6. Step 6: Final answer
    x = 579.57

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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.