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Finding the Fourth Proportional to 775.43, 1,156.23 and 743.03

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Solution

The fourth proportional to 775.43, 1,156.23 and 743.03 is: 1,107.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.43 : 1,156.23 = 743.03 : x
  2. Step 2: Convert to fraction form
    775.43/1,156.23 = 743.03/x
  3. Step 3: Cross multiply
    775.43x = 1,156.23 × 743.03
  4. Step 4: Simplify right side
    775.43x = 859,109.86
  5. Step 5: Solve for x
    x = 859,109.86/775.43
  6. Step 6: Final answer
    x = 1,107.91

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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.