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Finding the Fourth Proportional to 769.50, 1,061.91 and 420.19

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Solution

The fourth proportional to 769.50, 1,061.91 and 420.19 is: 579.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.50 : 1,061.91 = 420.19 : x
  2. Step 2: Convert to fraction form
    769.50/1,061.91 = 420.19/x
  3. Step 3: Cross multiply
    769.50x = 1,061.91 × 420.19
  4. Step 4: Simplify right side
    769.50x = 446,201.31
  5. Step 5: Solve for x
    x = 446,201.31/769.50
  6. Step 6: Final answer
    x = 579.86

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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.