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Finding the Fourth Proportional to 769, 1,061.24 and 419.68

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Solution

The fourth proportional to 769, 1,061.24 and 419.68 is: 579.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    769 : 1,061.24 = 419.68 : x
  2. Step 2: Convert to fraction form
    769/1,061.24 = 419.68/x
  3. Step 3: Cross multiply
    769x = 1,061.24 × 419.68
  4. Step 4: Simplify right side
    769x = 445,381.20
  5. Step 5: Solve for x
    x = 445,381.20/769
  6. Step 6: Final answer
    x = 579.17

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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.