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Finding the Fourth Proportional to 847.78, 1,169.89 and 516.14

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Solution

The fourth proportional to 847.78, 1,169.89 and 516.14 is: 712.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.78 : 1,169.89 = 516.14 : x
  2. Step 2: Convert to fraction form
    847.78/1,169.89 = 516.14/x
  3. Step 3: Cross multiply
    847.78x = 1,169.89 × 516.14
  4. Step 4: Simplify right side
    847.78x = 603,827.02
  5. Step 5: Solve for x
    x = 603,827.02/847.78
  6. Step 6: Final answer
    x = 712.24

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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.