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Finding the Fourth Proportional to 1,516.29, 2,273.79 and 638.22

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Solution

The fourth proportional to 1,516.29, 2,273.79 and 638.22 is: 957.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.29 : 2,273.79 = 638.22 : x
  2. Step 2: Convert to fraction form
    1,516.29/2,273.79 = 638.22/x
  3. Step 3: Cross multiply
    1,516.29x = 2,273.79 × 638.22
  4. Step 4: Simplify right side
    1,516.29x = 1,451,178.25
  5. Step 5: Solve for x
    x = 1,451,178.25/1,516.29
  6. Step 6: Final answer
    x = 957.06

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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.