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Finding the Fourth Proportional to 1,165.83, 1,747.67 and 516.21

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Solution

The fourth proportional to 1,165.83, 1,747.67 and 516.21 is: 773.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.83 : 1,747.67 = 516.21 : x
  2. Step 2: Convert to fraction form
    1,165.83/1,747.67 = 516.21/x
  3. Step 3: Cross multiply
    1,165.83x = 1,747.67 × 516.21
  4. Step 4: Simplify right side
    1,165.83x = 902,162.15
  5. Step 5: Solve for x
    x = 902,162.15/1,165.83
  6. Step 6: Final answer
    x = 773.84

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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.