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Finding the Fourth Proportional to 1,082.87, 1,625.26 and 563.23

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Solution

The fourth proportional to 1,082.87, 1,625.26 and 563.23 is: 845.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.87 : 1,625.26 = 563.23 : x
  2. Step 2: Convert to fraction form
    1,082.87/1,625.26 = 563.23/x
  3. Step 3: Cross multiply
    1,082.87x = 1,625.26 × 563.23
  4. Step 4: Simplify right side
    1,082.87x = 915,384.25
  5. Step 5: Solve for x
    x = 915,384.25/1,082.87
  6. Step 6: Final answer
    x = 845.34

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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.