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Finding the Fourth Proportional to 1,163.61, 1,605.83 and 769.95

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Solution

The fourth proportional to 1,163.61, 1,605.83 and 769.95 is: 1,062.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.61 : 1,605.83 = 769.95 : x
  2. Step 2: Convert to fraction form
    1,163.61/1,605.83 = 769.95/x
  3. Step 3: Cross multiply
    1,163.61x = 1,605.83 × 769.95
  4. Step 4: Simplify right side
    1,163.61x = 1,236,404.96
  5. Step 5: Solve for x
    x = 1,236,404.96/1,163.61
  6. Step 6: Final answer
    x = 1,062.56

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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.