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Finding the Fourth Proportional to 1,082.69, 1,623.90 and 638.21

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Solution

The fourth proportional to 1,082.69, 1,623.90 and 638.21 is: 957.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.69 : 1,623.90 = 638.21 : x
  2. Step 2: Convert to fraction form
    1,082.69/1,623.90 = 638.21/x
  3. Step 3: Cross multiply
    1,082.69x = 1,623.90 × 638.21
  4. Step 4: Simplify right side
    1,082.69x = 1,036,389.22
  5. Step 5: Solve for x
    x = 1,036,389.22/1,082.69
  6. Step 6: Final answer
    x = 957.24

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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.