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Finding the Fourth Proportional to 769.82, 1,062.36 and 420.53

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Solution

The fourth proportional to 769.82, 1,062.36 and 420.53 is: 580.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.82 : 1,062.36 = 420.53 : x
  2. Step 2: Convert to fraction form
    769.82/1,062.36 = 420.53/x
  3. Step 3: Cross multiply
    769.82x = 1,062.36 × 420.53
  4. Step 4: Simplify right side
    769.82x = 446,754.25
  5. Step 5: Solve for x
    x = 446,754.25/769.82
  6. Step 6: Final answer
    x = 580.34

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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.