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Finding the Fourth Proportional to 1,540.82, 2,311.28 and 445.24

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Solution

The fourth proportional to 1,540.82, 2,311.28 and 445.24 is: 667.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.82 : 2,311.28 = 445.24 : x
  2. Step 2: Convert to fraction form
    1,540.82/2,311.28 = 445.24/x
  3. Step 3: Cross multiply
    1,540.82x = 2,311.28 × 445.24
  4. Step 4: Simplify right side
    1,540.82x = 1,029,074.31
  5. Step 5: Solve for x
    x = 1,029,074.31/1,540.82
  6. Step 6: Final answer
    x = 667.87

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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.