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Finding the Fourth Proportional to 850.41, 1,274.76 and 542.61

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Solution

The fourth proportional to 850.41, 1,274.76 and 542.61 is: 813.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.41 : 1,274.76 = 542.61 : x
  2. Step 2: Convert to fraction form
    850.41/1,274.76 = 542.61/x
  3. Step 3: Cross multiply
    850.41x = 1,274.76 × 542.61
  4. Step 4: Simplify right side
    850.41x = 691,697.52
  5. Step 5: Solve for x
    x = 691,697.52/850.41
  6. Step 6: Final answer
    x = 813.37

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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.