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Finding the Fourth Proportional to 1,183.23, 1,774.92 and 565.23

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Solution

The fourth proportional to 1,183.23, 1,774.92 and 565.23 is: 847.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.23 : 1,774.92 = 565.23 : x
  2. Step 2: Convert to fraction form
    1,183.23/1,774.92 = 565.23/x
  3. Step 3: Cross multiply
    1,183.23x = 1,774.92 × 565.23
  4. Step 4: Simplify right side
    1,183.23x = 1,003,238.03
  5. Step 5: Solve for x
    x = 1,003,238.03/1,183.23
  6. Step 6: Final answer
    x = 847.88

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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.