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Finding the Fourth Proportional to 1,388.12, 2,082.52 and 414.21

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Solution

The fourth proportional to 1,388.12, 2,082.52 and 414.21 is: 621.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.12 : 2,082.52 = 414.21 : x
  2. Step 2: Convert to fraction form
    1,388.12/2,082.52 = 414.21/x
  3. Step 3: Cross multiply
    1,388.12x = 2,082.52 × 414.21
  4. Step 4: Simplify right side
    1,388.12x = 862,608.94
  5. Step 5: Solve for x
    x = 862,608.94/1,388.12
  6. Step 6: Final answer
    x = 621.42

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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.