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Finding the Fourth Proportional to 1,078.30, 1,617.75 and 385.04

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Solution

The fourth proportional to 1,078.30, 1,617.75 and 385.04 is: 577.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.30 : 1,617.75 = 385.04 : x
  2. Step 2: Convert to fraction form
    1,078.30/1,617.75 = 385.04/x
  3. Step 3: Cross multiply
    1,078.30x = 1,617.75 × 385.04
  4. Step 4: Simplify right side
    1,078.30x = 622,896.33
  5. Step 5: Solve for x
    x = 622,896.33/1,078.30
  6. Step 6: Final answer
    x = 577.66

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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.