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Finding the Fourth Proportional to 1,013.94, 1,517.67 and 720.72

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Solution

The fourth proportional to 1,013.94, 1,517.67 and 720.72 is: 1,078.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.94 : 1,517.67 = 720.72 : x
  2. Step 2: Convert to fraction form
    1,013.94/1,517.67 = 720.72/x
  3. Step 3: Cross multiply
    1,013.94x = 1,517.67 × 720.72
  4. Step 4: Simplify right side
    1,013.94x = 1,093,815.12
  5. Step 5: Solve for x
    x = 1,093,815.12/1,013.94
  6. Step 6: Final answer
    x = 1,078.78

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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.