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Finding the Fourth Proportional to 853.38, 1,273.14 and 773.80

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Solution

The fourth proportional to 853.38, 1,273.14 and 773.80 is: 1,154.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.38 : 1,273.14 = 773.80 : x
  2. Step 2: Convert to fraction form
    853.38/1,273.14 = 773.80/x
  3. Step 3: Cross multiply
    853.38x = 1,273.14 × 773.80
  4. Step 4: Simplify right side
    853.38x = 985,152.55
  5. Step 5: Solve for x
    x = 985,152.55/853.38
  6. Step 6: Final answer
    x = 1,154.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.