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Finding the Fourth Proportional to 1,163.31, 1,605.20 and 665.85

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Solution

The fourth proportional to 1,163.31, 1,605.20 and 665.85 is: 918.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.31 : 1,605.20 = 665.85 : x
  2. Step 2: Convert to fraction form
    1,163.31/1,605.20 = 665.85/x
  3. Step 3: Cross multiply
    1,163.31x = 1,605.20 × 665.85
  4. Step 4: Simplify right side
    1,163.31x = 1,068,825.11
  5. Step 5: Solve for x
    x = 1,068,825.11/1,163.31
  6. Step 6: Final answer
    x = 918.78

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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.