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Finding the Fourth Proportional to 1,082.92, 1,623.18 and 672.04

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Solution

The fourth proportional to 1,082.92, 1,623.18 and 672.04 is: 1,007.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.92 : 1,623.18 = 672.04 : x
  2. Step 2: Convert to fraction form
    1,082.92/1,623.18 = 672.04/x
  3. Step 3: Cross multiply
    1,082.92x = 1,623.18 × 672.04
  4. Step 4: Simplify right side
    1,082.92x = 1,090,841.89
  5. Step 5: Solve for x
    x = 1,090,841.89/1,082.92
  6. Step 6: Final answer
    x = 1,007.32

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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.