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Finding the Fourth Proportional to 844.93, 1,166.09 and 513.38

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Solution

The fourth proportional to 844.93, 1,166.09 and 513.38 is: 708.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.93 : 1,166.09 = 513.38 : x
  2. Step 2: Convert to fraction form
    844.93/1,166.09 = 513.38/x
  3. Step 3: Cross multiply
    844.93x = 1,166.09 × 513.38
  4. Step 4: Simplify right side
    844.93x = 598,647.63
  5. Step 5: Solve for x
    x = 598,647.63/844.93
  6. Step 6: Final answer
    x = 708.52

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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.