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Finding the Fourth Proportional to 1,013.05, 1,517.24 and 666.27

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Solution

The fourth proportional to 1,013.05, 1,517.24 and 666.27 is: 997.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.05 : 1,517.24 = 666.27 : x
  2. Step 2: Convert to fraction form
    1,013.05/1,517.24 = 666.27/x
  3. Step 3: Cross multiply
    1,013.05x = 1,517.24 × 666.27
  4. Step 4: Simplify right side
    1,013.05x = 1,010,893.16
  5. Step 5: Solve for x
    x = 1,010,893.16/1,013.05
  6. Step 6: Final answer
    x = 997.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.