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Finding the Fourth Proportional to 853.69, 1,278.96 and 540.47

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Solution

The fourth proportional to 853.69, 1,278.96 and 540.47 is: 809.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.69 : 1,278.96 = 540.47 : x
  2. Step 2: Convert to fraction form
    853.69/1,278.96 = 540.47/x
  3. Step 3: Cross multiply
    853.69x = 1,278.96 × 540.47
  4. Step 4: Simplify right side
    853.69x = 691,245.24
  5. Step 5: Solve for x
    x = 691,245.24/853.69
  6. Step 6: Final answer
    x = 809.72

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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.