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Finding the Fourth Proportional to 1,540.64, 2,311.37 and 566.75

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Solution

The fourth proportional to 1,540.64, 2,311.37 and 566.75 is: 850.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.64 : 2,311.37 = 566.75 : x
  2. Step 2: Convert to fraction form
    1,540.64/2,311.37 = 566.75/x
  3. Step 3: Cross multiply
    1,540.64x = 2,311.37 × 566.75
  4. Step 4: Simplify right side
    1,540.64x = 1,309,966.11
  5. Step 5: Solve for x
    x = 1,309,966.11/1,540.64
  6. Step 6: Final answer
    x = 850.27

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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.