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Finding the Fourth Proportional to 853.94, 1,278.48 and 785.90

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Solution

The fourth proportional to 853.94, 1,278.48 and 785.90 is: 1,176.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.94 : 1,278.48 = 785.90 : x
  2. Step 2: Convert to fraction form
    853.94/1,278.48 = 785.90/x
  3. Step 3: Cross multiply
    853.94x = 1,278.48 × 785.90
  4. Step 4: Simplify right side
    853.94x = 1,004,757.43
  5. Step 5: Solve for x
    x = 1,004,757.43/853.94
  6. Step 6: Final answer
    x = 1,176.61

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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.