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Finding the Fourth Proportional to 850.91, 1,274.54 and 575.78

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Solution

The fourth proportional to 850.91, 1,274.54 and 575.78 is: 862.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.91 : 1,274.54 = 575.78 : x
  2. Step 2: Convert to fraction form
    850.91/1,274.54 = 575.78/x
  3. Step 3: Cross multiply
    850.91x = 1,274.54 × 575.78
  4. Step 4: Simplify right side
    850.91x = 733,845.39
  5. Step 5: Solve for x
    x = 733,845.39/850.91
  6. Step 6: Final answer
    x = 862.43

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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.