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Finding the Fourth Proportional to 1,474.27, 2,212.72 and 694.71

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Solution

The fourth proportional to 1,474.27, 2,212.72 and 694.71 is: 1,042.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.27 : 2,212.72 = 694.71 : x
  2. Step 2: Convert to fraction form
    1,474.27/2,212.72 = 694.71/x
  3. Step 3: Cross multiply
    1,474.27x = 2,212.72 × 694.71
  4. Step 4: Simplify right side
    1,474.27x = 1,537,196.97
  5. Step 5: Solve for x
    x = 1,537,196.97/1,474.27
  6. Step 6: Final answer
    x = 1,042.69

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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.