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Finding the Fourth Proportional to 1,163.97, 1,605.87 and 697.95

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Solution

The fourth proportional to 1,163.97, 1,605.87 and 697.95 is: 962.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.97 : 1,605.87 = 697.95 : x
  2. Step 2: Convert to fraction form
    1,163.97/1,605.87 = 697.95/x
  3. Step 3: Cross multiply
    1,163.97x = 1,605.87 × 697.95
  4. Step 4: Simplify right side
    1,163.97x = 1,120,816.97
  5. Step 5: Solve for x
    x = 1,120,816.97/1,163.97
  6. Step 6: Final answer
    x = 962.93

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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.