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Finding the Fourth Proportional to 1,382.31, 2,072.97 and 504.72

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Solution

The fourth proportional to 1,382.31, 2,072.97 and 504.72 is: 756.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.31 : 2,072.97 = 504.72 : x
  2. Step 2: Convert to fraction form
    1,382.31/2,072.97 = 504.72/x
  3. Step 3: Cross multiply
    1,382.31x = 2,072.97 × 504.72
  4. Step 4: Simplify right side
    1,382.31x = 1,046,269.42
  5. Step 5: Solve for x
    x = 1,046,269.42/1,382.31
  6. Step 6: Final answer
    x = 756.90

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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.