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Finding the Fourth Proportional to 968.80, 1,446.22 and 822.96

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Solution

The fourth proportional to 968.80, 1,446.22 and 822.96 is: 1,228.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.80 : 1,446.22 = 822.96 : x
  2. Step 2: Convert to fraction form
    968.80/1,446.22 = 822.96/x
  3. Step 3: Cross multiply
    968.80x = 1,446.22 × 822.96
  4. Step 4: Simplify right side
    968.80x = 1,190,181.21
  5. Step 5: Solve for x
    x = 1,190,181.21/968.80
  6. Step 6: Final answer
    x = 1,228.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.