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Finding the Fourth Proportional to 1,383.06, 2,073.30 and 516.78

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Solution

The fourth proportional to 1,383.06, 2,073.30 and 516.78 is: 774.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.06 : 2,073.30 = 516.78 : x
  2. Step 2: Convert to fraction form
    1,383.06/2,073.30 = 516.78/x
  3. Step 3: Cross multiply
    1,383.06x = 2,073.30 × 516.78
  4. Step 4: Simplify right side
    1,383.06x = 1,071,439.97
  5. Step 5: Solve for x
    x = 1,071,439.97/1,383.06
  6. Step 6: Final answer
    x = 774.69

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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.