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Finding the Fourth Proportional to 769, 1,061.22 and 419.71

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Solution

The fourth proportional to 769, 1,061.22 and 419.71 is: 579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    769 : 1,061.22 = 419.71 : x
  2. Step 2: Convert to fraction form
    769/1,061.22 = 419.71/x
  3. Step 3: Cross multiply
    769x = 1,061.22 × 419.71
  4. Step 4: Simplify right side
    769x = 445,404.65
  5. Step 5: Solve for x
    x = 445,404.65/769
  6. Step 6: Final answer
    x = 579.20

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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.