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Finding the Fourth Proportional to 1,082.84, 1,623.58 and 563.42

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Solution

The fourth proportional to 1,082.84, 1,623.58 and 563.42 is: 844.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.84 : 1,623.58 = 563.42 : x
  2. Step 2: Convert to fraction form
    1,082.84/1,623.58 = 563.42/x
  3. Step 3: Cross multiply
    1,082.84x = 1,623.58 × 563.42
  4. Step 4: Simplify right side
    1,082.84x = 914,760.09
  5. Step 5: Solve for x
    x = 914,760.09/1,082.84
  6. Step 6: Final answer
    x = 844.78

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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.