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Finding the Fourth Proportional to 1,082.17, 1,623.56 and 908.43

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Solution

The fourth proportional to 1,082.17, 1,623.56 and 908.43 is: 1,362.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.17 : 1,623.56 = 908.43 : x
  2. Step 2: Convert to fraction form
    1,082.17/1,623.56 = 908.43/x
  3. Step 3: Cross multiply
    1,082.17x = 1,623.56 × 908.43
  4. Step 4: Simplify right side
    1,082.17x = 1,474,890.61
  5. Step 5: Solve for x
    x = 1,474,890.61/1,082.17
  6. Step 6: Final answer
    x = 1,362.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.