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Finding the Fourth Proportional to 1,082.12, 1,622.38 and 432.36

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Solution

The fourth proportional to 1,082.12, 1,622.38 and 432.36 is: 648.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.12 : 1,622.38 = 432.36 : x
  2. Step 2: Convert to fraction form
    1,082.12/1,622.38 = 432.36/x
  3. Step 3: Cross multiply
    1,082.12x = 1,622.38 × 432.36
  4. Step 4: Simplify right side
    1,082.12x = 701,452.22
  5. Step 5: Solve for x
    x = 701,452.22/1,082.12
  6. Step 6: Final answer
    x = 648.22

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