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Finding the Fourth Proportional to 1,240.91, 1,712.37 and 743.43

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Solution

The fourth proportional to 1,240.91, 1,712.37 and 743.43 is: 1,025.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.91 : 1,712.37 = 743.43 : x
  2. Step 2: Convert to fraction form
    1,240.91/1,712.37 = 743.43/x
  3. Step 3: Cross multiply
    1,240.91x = 1,712.37 × 743.43
  4. Step 4: Simplify right side
    1,240.91x = 1,273,027.23
  5. Step 5: Solve for x
    x = 1,273,027.23/1,240.91
  6. Step 6: Final answer
    x = 1,025.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.