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Finding the Fourth Proportional to 1,016.73, 1,523.46 and 854.73

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Solution

The fourth proportional to 1,016.73, 1,523.46 and 854.73 is: 1,280.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.73 : 1,523.46 = 854.73 : x
  2. Step 2: Convert to fraction form
    1,016.73/1,523.46 = 854.73/x
  3. Step 3: Cross multiply
    1,016.73x = 1,523.46 × 854.73
  4. Step 4: Simplify right side
    1,016.73x = 1,302,146.97
  5. Step 5: Solve for x
    x = 1,302,146.97/1,016.73
  6. Step 6: Final answer
    x = 1,280.72

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Why These Related Problems?

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