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Finding the Fourth Proportional to 769.56, 1,061.99 and 420.24

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Solution

The fourth proportional to 769.56, 1,061.99 and 420.24 is: 579.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.56 : 1,061.99 = 420.24 : x
  2. Step 2: Convert to fraction form
    769.56/1,061.99 = 420.24/x
  3. Step 3: Cross multiply
    769.56x = 1,061.99 × 420.24
  4. Step 4: Simplify right side
    769.56x = 446,288.58
  5. Step 5: Solve for x
    x = 446,288.58/769.56
  6. Step 6: Final answer
    x = 579.93

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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.