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Finding the Fourth Proportional to 826.92, 1,140.96 and 516.48

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Solution

The fourth proportional to 826.92, 1,140.96 and 516.48 is: 712.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.92 : 1,140.96 = 516.48 : x
  2. Step 2: Convert to fraction form
    826.92/1,140.96 = 516.48/x
  3. Step 3: Cross multiply
    826.92x = 1,140.96 × 516.48
  4. Step 4: Simplify right side
    826.92x = 589,283.02
  5. Step 5: Solve for x
    x = 589,283.02/826.92
  6. Step 6: Final answer
    x = 712.62

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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.