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Finding the Fourth Proportional to 1,013.22, 1,517.81 and 867.69

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Solution

The fourth proportional to 1,013.22, 1,517.81 and 867.69 is: 1,299.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.22 : 1,517.81 = 867.69 : x
  2. Step 2: Convert to fraction form
    1,013.22/1,517.81 = 867.69/x
  3. Step 3: Cross multiply
    1,013.22x = 1,517.81 × 867.69
  4. Step 4: Simplify right side
    1,013.22x = 1,316,984.22
  5. Step 5: Solve for x
    x = 1,316,984.22/1,013.22
  6. Step 6: Final answer
    x = 1,299.80

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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.