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Finding the Fourth Proportional to 823.91, 1,137.62 and 616.43

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Solution

The fourth proportional to 823.91, 1,137.62 and 616.43 is: 851.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.91 : 1,137.62 = 616.43 : x
  2. Step 2: Convert to fraction form
    823.91/1,137.62 = 616.43/x
  3. Step 3: Cross multiply
    823.91x = 1,137.62 × 616.43
  4. Step 4: Simplify right side
    823.91x = 701,267.48
  5. Step 5: Solve for x
    x = 701,267.48/823.91
  6. Step 6: Final answer
    x = 851.15

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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.