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Finding the Fourth Proportional to 1,168.05, 1,750.96 and 822.18

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Solution

The fourth proportional to 1,168.05, 1,750.96 and 822.18 is: 1,232.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.05 : 1,750.96 = 822.18 : x
  2. Step 2: Convert to fraction form
    1,168.05/1,750.96 = 822.18/x
  3. Step 3: Cross multiply
    1,168.05x = 1,750.96 × 822.18
  4. Step 4: Simplify right side
    1,168.05x = 1,439,604.29
  5. Step 5: Solve for x
    x = 1,439,604.29/1,168.05
  6. Step 6: Final answer
    x = 1,232.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.