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Finding the Fourth Proportional to 847.15, 1,268.49 and 681.74

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Solution

The fourth proportional to 847.15, 1,268.49 and 681.74 is: 1,020.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.15 : 1,268.49 = 681.74 : x
  2. Step 2: Convert to fraction form
    847.15/1,268.49 = 681.74/x
  3. Step 3: Cross multiply
    847.15x = 1,268.49 × 681.74
  4. Step 4: Simplify right side
    847.15x = 864,780.37
  5. Step 5: Solve for x
    x = 864,780.37/847.15
  6. Step 6: Final answer
    x = 1,020.81

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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.