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Finding the Fourth Proportional to 1,205.34, 1,662.84 and 812.22

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Solution

The fourth proportional to 1,205.34, 1,662.84 and 812.22 is: 1,120.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.34 : 1,662.84 = 812.22 : x
  2. Step 2: Convert to fraction form
    1,205.34/1,662.84 = 812.22/x
  3. Step 3: Cross multiply
    1,205.34x = 1,662.84 × 812.22
  4. Step 4: Simplify right side
    1,205.34x = 1,350,591.90
  5. Step 5: Solve for x
    x = 1,350,591.90/1,205.34
  6. Step 6: Final answer
    x = 1,120.51

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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.