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Finding the Fourth Proportional to 1,589.24, 2,383.78 and 549.24

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Solution

The fourth proportional to 1,589.24, 2,383.78 and 549.24 is: 823.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.24 : 2,383.78 = 549.24 : x
  2. Step 2: Convert to fraction form
    1,589.24/2,383.78 = 549.24/x
  3. Step 3: Cross multiply
    1,589.24x = 2,383.78 × 549.24
  4. Step 4: Simplify right side
    1,589.24x = 1,309,267.33
  5. Step 5: Solve for x
    x = 1,309,267.33/1,589.24
  6. Step 6: Final answer
    x = 823.83

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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.