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Finding the Fourth Proportional to 862.81, 1,182.65 and 850.66

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Solution

The fourth proportional to 862.81, 1,182.65 and 850.66 is: 1,166.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.81 : 1,182.65 = 850.66 : x
  2. Step 2: Convert to fraction form
    862.81/1,182.65 = 850.66/x
  3. Step 3: Cross multiply
    862.81x = 1,182.65 × 850.66
  4. Step 4: Simplify right side
    862.81x = 1,006,033.05
  5. Step 5: Solve for x
    x = 1,006,033.05/862.81
  6. Step 6: Final answer
    x = 1,166.00

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.