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Finding the Fourth Proportional to 850.41, 1,274.49 and 542.13

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Solution

The fourth proportional to 850.41, 1,274.49 and 542.13 is: 812.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.41 : 1,274.49 = 542.13 : x
  2. Step 2: Convert to fraction form
    850.41/1,274.49 = 542.13/x
  3. Step 3: Cross multiply
    850.41x = 1,274.49 × 542.13
  4. Step 4: Simplify right side
    850.41x = 690,939.26
  5. Step 5: Solve for x
    x = 690,939.26/850.41
  6. Step 6: Final answer
    x = 812.48

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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.