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Finding the Fourth Proportional to 1,391.49, 1,919.94 and 831.87

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Solution

The fourth proportional to 1,391.49, 1,919.94 and 831.87 is: 1,147.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.49 : 1,919.94 = 831.87 : x
  2. Step 2: Convert to fraction form
    1,391.49/1,919.94 = 831.87/x
  3. Step 3: Cross multiply
    1,391.49x = 1,919.94 × 831.87
  4. Step 4: Simplify right side
    1,391.49x = 1,597,140.49
  5. Step 5: Solve for x
    x = 1,597,140.49/1,391.49
  6. Step 6: Final answer
    x = 1,147.79

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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.