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Finding the Fourth Proportional to 853.27, 1,177.61 and 617.96

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Solution

The fourth proportional to 853.27, 1,177.61 and 617.96 is: 852.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.27 : 1,177.61 = 617.96 : x
  2. Step 2: Convert to fraction form
    853.27/1,177.61 = 617.96/x
  3. Step 3: Cross multiply
    853.27x = 1,177.61 × 617.96
  4. Step 4: Simplify right side
    853.27x = 727,715.73
  5. Step 5: Solve for x
    x = 727,715.73/853.27
  6. Step 6: Final answer
    x = 852.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.