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Finding the Fourth Proportional to 1,082.27, 1,622.92 and 534.23

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Solution

The fourth proportional to 1,082.27, 1,622.92 and 534.23 is: 801.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.27 : 1,622.92 = 534.23 : x
  2. Step 2: Convert to fraction form
    1,082.27/1,622.92 = 534.23/x
  3. Step 3: Cross multiply
    1,082.27x = 1,622.92 × 534.23
  4. Step 4: Simplify right side
    1,082.27x = 867,012.55
  5. Step 5: Solve for x
    x = 867,012.55/1,082.27
  6. Step 6: Final answer
    x = 801.11

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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.