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Finding the Fourth Proportional to 769.84, 1,062.38 and 420.54

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Solution

The fourth proportional to 769.84, 1,062.38 and 420.54 is: 580.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.84 : 1,062.38 = 420.54 : x
  2. Step 2: Convert to fraction form
    769.84/1,062.38 = 420.54/x
  3. Step 3: Cross multiply
    769.84x = 1,062.38 × 420.54
  4. Step 4: Simplify right side
    769.84x = 446,769.02
  5. Step 5: Solve for x
    x = 446,769.02/769.84
  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.