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Finding the Fourth Proportional to 847.71, 1,169.82 and 516.15

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Solution

The fourth proportional to 847.71, 1,169.82 and 516.15 is: 712.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.71 : 1,169.82 = 516.15 : x
  2. Step 2: Convert to fraction form
    847.71/1,169.82 = 516.15/x
  3. Step 3: Cross multiply
    847.71x = 1,169.82 × 516.15
  4. Step 4: Simplify right side
    847.71x = 603,802.59
  5. Step 5: Solve for x
    x = 603,802.59/847.71
  6. Step 6: Final answer
    x = 712.27

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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.