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Finding the Fourth Proportional to 769.08, 1,061.34 and 419.77

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Solution

The fourth proportional to 769.08, 1,061.34 and 419.77 is: 579.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.08 : 1,061.34 = 419.77 : x
  2. Step 2: Convert to fraction form
    769.08/1,061.34 = 419.77/x
  3. Step 3: Cross multiply
    769.08x = 1,061.34 × 419.77
  4. Step 4: Simplify right side
    769.08x = 445,512.47
  5. Step 5: Solve for x
    x = 445,512.47/769.08
  6. Step 6: Final answer
    x = 579.28

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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.