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Finding the Fourth Proportional to 755.78, 1,042.05 and 519.26

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Solution

The fourth proportional to 755.78, 1,042.05 and 519.26 is: 715.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.78 : 1,042.05 = 519.26 : x
  2. Step 2: Convert to fraction form
    755.78/1,042.05 = 519.26/x
  3. Step 3: Cross multiply
    755.78x = 1,042.05 × 519.26
  4. Step 4: Simplify right side
    755.78x = 541,099.44
  5. Step 5: Solve for x
    x = 541,099.44/755.78
  6. Step 6: Final answer
    x = 715.95

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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.