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Finding the Fourth Proportional to 1,162.20, 1,604.33 and 743.11

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Solution

The fourth proportional to 1,162.20, 1,604.33 and 743.11 is: 1,025.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.20 : 1,604.33 = 743.11 : x
  2. Step 2: Convert to fraction form
    1,162.20/1,604.33 = 743.11/x
  3. Step 3: Cross multiply
    1,162.20x = 1,604.33 × 743.11
  4. Step 4: Simplify right side
    1,162.20x = 1,192,193.67
  5. Step 5: Solve for x
    x = 1,192,193.67/1,162.20
  6. Step 6: Final answer
    x = 1,025.81

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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.