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Finding the Fourth Proportional to 846.43, 1,166.73 and 822.13

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Solution

The fourth proportional to 846.43, 1,166.73 and 822.13 is: 1,133.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.43 : 1,166.73 = 822.13 : x
  2. Step 2: Convert to fraction form
    846.43/1,166.73 = 822.13/x
  3. Step 3: Cross multiply
    846.43x = 1,166.73 × 822.13
  4. Step 4: Simplify right side
    846.43x = 959,203.73
  5. Step 5: Solve for x
    x = 959,203.73/846.43
  6. Step 6: Final answer
    x = 1,133.23

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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.