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Finding the Fourth Proportional to 844.89, 1,166.31 and 513.42

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Solution

The fourth proportional to 844.89, 1,166.31 and 513.42 is: 708.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.89 : 1,166.31 = 513.42 : x
  2. Step 2: Convert to fraction form
    844.89/1,166.31 = 513.42/x
  3. Step 3: Cross multiply
    844.89x = 1,166.31 × 513.42
  4. Step 4: Simplify right side
    844.89x = 598,806.88
  5. Step 5: Solve for x
    x = 598,806.88/844.89
  6. Step 6: Final answer
    x = 708.74

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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.