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Finding the Fourth Proportional to 844.98, 1,166.19 and 513.36

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Solution

The fourth proportional to 844.98, 1,166.19 and 513.36 is: 708.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.98 : 1,166.19 = 513.36 : x
  2. Step 2: Convert to fraction form
    844.98/1,166.19 = 513.36/x
  3. Step 3: Cross multiply
    844.98x = 1,166.19 × 513.36
  4. Step 4: Simplify right side
    844.98x = 598,675.30
  5. Step 5: Solve for x
    x = 598,675.30/844.98
  6. Step 6: Final answer
    x = 708.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.