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Finding the Fourth Proportional to 769.22, 1,061.53 and 419.91

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Solution

The fourth proportional to 769.22, 1,061.53 and 419.91 is: 579.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.22 : 1,061.53 = 419.91 : x
  2. Step 2: Convert to fraction form
    769.22/1,061.53 = 419.91/x
  3. Step 3: Cross multiply
    769.22x = 1,061.53 × 419.91
  4. Step 4: Simplify right side
    769.22x = 445,742.03
  5. Step 5: Solve for x
    x = 445,742.03/769.22
  6. Step 6: Final answer
    x = 579.47

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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.