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Finding the Fourth Proportional to 837.52, 1,255.91 and 447.42

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Solution

The fourth proportional to 837.52, 1,255.91 and 447.42 is: 670.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.52 : 1,255.91 = 447.42 : x
  2. Step 2: Convert to fraction form
    837.52/1,255.91 = 447.42/x
  3. Step 3: Cross multiply
    837.52x = 1,255.91 × 447.42
  4. Step 4: Simplify right side
    837.52x = 561,921.72
  5. Step 5: Solve for x
    x = 561,921.72/837.52
  6. Step 6: Final answer
    x = 670.94

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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.