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Finding the Fourth Proportional to 826.50, 1,140.84 and 516

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Solution

The fourth proportional to 826.50, 1,140.84 and 516 is: 712.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.50 : 1,140.84 = 516 : x
  2. Step 2: Convert to fraction form
    826.50/1,140.84 = 516/x
  3. Step 3: Cross multiply
    826.50x = 1,140.84 × 516
  4. Step 4: Simplify right side
    826.50x = 588,673.44
  5. Step 5: Solve for x
    x = 588,673.44/826.50
  6. Step 6: Final answer
    x = 712.25

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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.