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Finding the Fourth Proportional to 778.26, 1,073.97 and 557.58

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Solution

The fourth proportional to 778.26, 1,073.97 and 557.58 is: 769.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.26 : 1,073.97 = 557.58 : x
  2. Step 2: Convert to fraction form
    778.26/1,073.97 = 557.58/x
  3. Step 3: Cross multiply
    778.26x = 1,073.97 × 557.58
  4. Step 4: Simplify right side
    778.26x = 598,824.19
  5. Step 5: Solve for x
    x = 598,824.19/778.26
  6. Step 6: Final answer
    x = 769.44

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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.