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Finding the Fourth Proportional to 1,420.82, 1,960.43 and 831.23

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Solution

The fourth proportional to 1,420.82, 1,960.43 and 831.23 is: 1,146.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.82 : 1,960.43 = 831.23 : x
  2. Step 2: Convert to fraction form
    1,420.82/1,960.43 = 831.23/x
  3. Step 3: Cross multiply
    1,420.82x = 1,960.43 × 831.23
  4. Step 4: Simplify right side
    1,420.82x = 1,629,568.97
  5. Step 5: Solve for x
    x = 1,629,568.97/1,420.82
  6. Step 6: Final answer
    x = 1,146.93

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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.