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Finding the Fourth Proportional to 1,076.20, 1,614.16 and 382.84

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Solution

The fourth proportional to 1,076.20, 1,614.16 and 382.84 is: 574.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.20 : 1,614.16 = 382.84 : x
  2. Step 2: Convert to fraction form
    1,076.20/1,614.16 = 382.84/x
  3. Step 3: Cross multiply
    1,076.20x = 1,614.16 × 382.84
  4. Step 4: Simplify right side
    1,076.20x = 617,965.01
  5. Step 5: Solve for x
    x = 617,965.01/1,076.20
  6. Step 6: Final answer
    x = 574.21

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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.