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Finding the Fourth Proportional to 1,414.27, 1,952.09 and 994.72

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Solution

The fourth proportional to 1,414.27, 1,952.09 and 994.72 is: 1,372.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.27 : 1,952.09 = 994.72 : x
  2. Step 2: Convert to fraction form
    1,414.27/1,952.09 = 994.72/x
  3. Step 3: Cross multiply
    1,414.27x = 1,952.09 × 994.72
  4. Step 4: Simplify right side
    1,414.27x = 1,941,782.96
  5. Step 5: Solve for x
    x = 1,941,782.96/1,414.27
  6. Step 6: Final answer
    x = 1,372.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.