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Finding the Fourth Proportional to 755.52, 1,135.43 and 447.44

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Solution

The fourth proportional to 755.52, 1,135.43 and 447.44 is: 672.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.52 : 1,135.43 = 447.44 : x
  2. Step 2: Convert to fraction form
    755.52/1,135.43 = 447.44/x
  3. Step 3: Cross multiply
    755.52x = 1,135.43 × 447.44
  4. Step 4: Simplify right side
    755.52x = 508,028.88
  5. Step 5: Solve for x
    x = 508,028.88/755.52
  6. Step 6: Final answer
    x = 672.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.