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Finding the Fourth Proportional to 563.80, 843.90 and 563.80

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Solution

The fourth proportional to 563.80, 843.90 and 563.80 is: 843.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.80 : 843.90 = 563.80 : x
  2. Step 2: Convert to fraction form
    563.80/843.90 = 563.80/x
  3. Step 3: Cross multiply
    563.80x = 843.90 × 563.80
  4. Step 4: Simplify right side
    563.80x = 475,790.82
  5. Step 5: Solve for x
    x = 475,790.82/563.80
  6. Step 6: Final answer
    x = 843.90

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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.