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Finding the Fourth Proportional to 844.73, 1,167.22 and 649.93

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Solution

The fourth proportional to 844.73, 1,167.22 and 649.93 is: 898.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.73 : 1,167.22 = 649.93 : x
  2. Step 2: Convert to fraction form
    844.73/1,167.22 = 649.93/x
  3. Step 3: Cross multiply
    844.73x = 1,167.22 × 649.93
  4. Step 4: Simplify right side
    844.73x = 758,609.19
  5. Step 5: Solve for x
    x = 758,609.19/844.73
  6. Step 6: Final answer
    x = 898.05

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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.