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Finding the Fourth Proportional to 769.97, 1,062.56 and 420.66

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Solution

The fourth proportional to 769.97, 1,062.56 and 420.66 is: 580.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.97 : 1,062.56 = 420.66 : x
  2. Step 2: Convert to fraction form
    769.97/1,062.56 = 420.66/x
  3. Step 3: Cross multiply
    769.97x = 1,062.56 × 420.66
  4. Step 4: Simplify right side
    769.97x = 446,976.49
  5. Step 5: Solve for x
    x = 446,976.49/769.97
  6. Step 6: Final answer
    x = 580.51

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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.