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Finding the Fourth Proportional to 845.70, 1,266.87 and 516.23

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Solution

The fourth proportional to 845.70, 1,266.87 and 516.23 is: 773.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.70 : 1,266.87 = 516.23 : x
  2. Step 2: Convert to fraction form
    845.70/1,266.87 = 516.23/x
  3. Step 3: Cross multiply
    845.70x = 1,266.87 × 516.23
  4. Step 4: Simplify right side
    845.70x = 653,996.30
  5. Step 5: Solve for x
    x = 653,996.30/845.70
  6. Step 6: Final answer
    x = 773.32

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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.