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Finding the Fourth Proportional to 1,540.38, 2,311.49 and 566.58

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Solution

The fourth proportional to 1,540.38, 2,311.49 and 566.58 is: 850.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.38 : 2,311.49 = 566.58 : x
  2. Step 2: Convert to fraction form
    1,540.38/2,311.49 = 566.58/x
  3. Step 3: Cross multiply
    1,540.38x = 2,311.49 × 566.58
  4. Step 4: Simplify right side
    1,540.38x = 1,309,644.00
  5. Step 5: Solve for x
    x = 1,309,644.00/1,540.38
  6. Step 6: Final answer
    x = 850.21

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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.