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Finding the Fourth Proportional to 1,540.92, 2,309.94 and 566.76

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Solution

The fourth proportional to 1,540.92, 2,309.94 and 566.76 is: 849.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.92 : 2,309.94 = 566.76 : x
  2. Step 2: Convert to fraction form
    1,540.92/2,309.94 = 566.76/x
  3. Step 3: Cross multiply
    1,540.92x = 2,309.94 × 566.76
  4. Step 4: Simplify right side
    1,540.92x = 1,309,181.59
  5. Step 5: Solve for x
    x = 1,309,181.59/1,540.92
  6. Step 6: Final answer
    x = 849.61

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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.