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Finding the Fourth Proportional to 769.42, 1,061.79 and 420.11

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Solution

The fourth proportional to 769.42, 1,061.79 and 420.11 is: 579.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.42 : 1,061.79 = 420.11 : x
  2. Step 2: Convert to fraction form
    769.42/1,061.79 = 420.11/x
  3. Step 3: Cross multiply
    769.42x = 1,061.79 × 420.11
  4. Step 4: Simplify right side
    769.42x = 446,063.29
  5. Step 5: Solve for x
    x = 446,063.29/769.42
  6. Step 6: Final answer
    x = 579.74

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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.