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Finding the Fourth Proportional to 1,122.23, 1,682.21 and 565.23

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Solution

The fourth proportional to 1,122.23, 1,682.21 and 565.23 is: 847.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.23 : 1,682.21 = 565.23 : x
  2. Step 2: Convert to fraction form
    1,122.23/1,682.21 = 565.23/x
  3. Step 3: Cross multiply
    1,122.23x = 1,682.21 × 565.23
  4. Step 4: Simplify right side
    1,122.23x = 950,832.73
  5. Step 5: Solve for x
    x = 950,832.73/1,122.23
  6. Step 6: Final answer
    x = 847.27

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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.