Home / 1,286.48-1,928.64-516.56

Finding the Fourth Proportional to 1,286.48, 1,928.64 and 516.56

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Solution

The fourth proportional to 1,286.48, 1,928.64 and 516.56 is: 774.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.48 : 1,928.64 = 516.56 : x
  2. Step 2: Convert to fraction form
    1,286.48/1,928.64 = 516.56/x
  3. Step 3: Cross multiply
    1,286.48x = 1,928.64 × 516.56
  4. Step 4: Simplify right side
    1,286.48x = 996,258.28
  5. Step 5: Solve for x
    x = 996,258.28/1,286.48
  6. Step 6: Final answer
    x = 774.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.