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Finding the Fourth Proportional to 1,078.67, 1,617.48 and 523.64

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Solution

The fourth proportional to 1,078.67, 1,617.48 and 523.64 is: 785.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.67 : 1,617.48 = 523.64 : x
  2. Step 2: Convert to fraction form
    1,078.67/1,617.48 = 523.64/x
  3. Step 3: Cross multiply
    1,078.67x = 1,617.48 × 523.64
  4. Step 4: Simplify right side
    1,078.67x = 846,969.14
  5. Step 5: Solve for x
    x = 846,969.14/1,078.67
  6. Step 6: Final answer
    x = 785.20

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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.