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Finding the Fourth Proportional to 769.74, 1,062.26 and 420.42

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Solution

The fourth proportional to 769.74, 1,062.26 and 420.42 is: 580.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.74 : 1,062.26 = 420.42 : x
  2. Step 2: Convert to fraction form
    769.74/1,062.26 = 420.42/x
  3. Step 3: Cross multiply
    769.74x = 1,062.26 × 420.42
  4. Step 4: Simplify right side
    769.74x = 446,593.25
  5. Step 5: Solve for x
    x = 446,593.25/769.74
  6. Step 6: Final answer
    x = 580.19

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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.