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Finding the Fourth Proportional to 713.26, 983.91 and 516.43

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Solution

The fourth proportional to 713.26, 983.91 and 516.43 is: 712.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.26 : 983.91 = 516.43 : x
  2. Step 2: Convert to fraction form
    713.26/983.91 = 516.43/x
  3. Step 3: Cross multiply
    713.26x = 983.91 × 516.43
  4. Step 4: Simplify right side
    713.26x = 508,120.64
  5. Step 5: Solve for x
    x = 508,120.64/713.26
  6. Step 6: Final answer
    x = 712.39

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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.