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Finding the Fourth Proportional to 1,163.57, 1,605.83 and 769.91

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Solution

The fourth proportional to 1,163.57, 1,605.83 and 769.91 is: 1,062.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.57 : 1,605.83 = 769.91 : x
  2. Step 2: Convert to fraction form
    1,163.57/1,605.83 = 769.91/x
  3. Step 3: Cross multiply
    1,163.57x = 1,605.83 × 769.91
  4. Step 4: Simplify right side
    1,163.57x = 1,236,332.70
  5. Step 5: Solve for x
    x = 1,236,332.70/1,163.57
  6. Step 6: Final answer
    x = 1,062.54

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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.