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Finding the Fourth Proportional to 1,163.70, 1,604.22 and 831.96

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Solution

The fourth proportional to 1,163.70, 1,604.22 and 831.96 is: 1,146.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.70 : 1,604.22 = 831.96 : x
  2. Step 2: Convert to fraction form
    1,163.70/1,604.22 = 831.96/x
  3. Step 3: Cross multiply
    1,163.70x = 1,604.22 × 831.96
  4. Step 4: Simplify right side
    1,163.70x = 1,334,646.87
  5. Step 5: Solve for x
    x = 1,334,646.87/1,163.70
  6. Step 6: Final answer
    x = 1,146.90

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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.