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Finding the Fourth Proportional to 1,380.87, 1,906.02 and 821.75

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Solution

The fourth proportional to 1,380.87, 1,906.02 and 821.75 is: 1,134.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.87 : 1,906.02 = 821.75 : x
  2. Step 2: Convert to fraction form
    1,380.87/1,906.02 = 821.75/x
  3. Step 3: Cross multiply
    1,380.87x = 1,906.02 × 821.75
  4. Step 4: Simplify right side
    1,380.87x = 1,566,262.40
  5. Step 5: Solve for x
    x = 1,566,262.40/1,380.87
  6. Step 6: Final answer
    x = 1,134.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.