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Finding the Fourth Proportional to 743.22, 1,107.82 and 687.84

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Solution

The fourth proportional to 743.22, 1,107.82 and 687.84 is: 1,025.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.22 : 1,107.82 = 687.84 : x
  2. Step 2: Convert to fraction form
    743.22/1,107.82 = 687.84/x
  3. Step 3: Cross multiply
    743.22x = 1,107.82 × 687.84
  4. Step 4: Simplify right side
    743.22x = 762,002.91
  5. Step 5: Solve for x
    x = 762,002.91/743.22
  6. Step 6: Final answer
    x = 1,025.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.