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Finding the Fourth Proportional to 853.82, 1,279.17 and 593.27

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Solution

The fourth proportional to 853.82, 1,279.17 and 593.27 is: 888.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.82 : 1,279.17 = 593.27 : x
  2. Step 2: Convert to fraction form
    853.82/1,279.17 = 593.27/x
  3. Step 3: Cross multiply
    853.82x = 1,279.17 × 593.27
  4. Step 4: Simplify right side
    853.82x = 758,886.79
  5. Step 5: Solve for x
    x = 758,886.79/853.82
  6. Step 6: Final answer
    x = 888.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.