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Finding the Fourth Proportional to 1,013.41, 1,517.38 and 684.88

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Solution

The fourth proportional to 1,013.41, 1,517.38 and 684.88 is: 1,025.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.41 : 1,517.38 = 684.88 : x
  2. Step 2: Convert to fraction form
    1,013.41/1,517.38 = 684.88/x
  3. Step 3: Cross multiply
    1,013.41x = 1,517.38 × 684.88
  4. Step 4: Simplify right side
    1,013.41x = 1,039,223.21
  5. Step 5: Solve for x
    x = 1,039,223.21/1,013.41
  6. Step 6: Final answer
    x = 1,025.47

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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.