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Finding the Fourth Proportional to 847.72, 1,169.86 and 516.09

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Solution

The fourth proportional to 847.72, 1,169.86 and 516.09 is: 712.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.72 : 1,169.86 = 516.09 : x
  2. Step 2: Convert to fraction form
    847.72/1,169.86 = 516.09/x
  3. Step 3: Cross multiply
    847.72x = 1,169.86 × 516.09
  4. Step 4: Simplify right side
    847.72x = 603,753.05
  5. Step 5: Solve for x
    x = 603,753.05/847.72
  6. Step 6: Final answer
    x = 712.21

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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.