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Finding the Fourth Proportional to 1,013.41, 1,522.19 and 667.24

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Solution

The fourth proportional to 1,013.41, 1,522.19 and 667.24 is: 1,002.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.41 : 1,522.19 = 667.24 : x
  2. Step 2: Convert to fraction form
    1,013.41/1,522.19 = 667.24/x
  3. Step 3: Cross multiply
    1,013.41x = 1,522.19 × 667.24
  4. Step 4: Simplify right side
    1,013.41x = 1,015,663.92
  5. Step 5: Solve for x
    x = 1,015,663.92/1,013.41
  6. Step 6: Final answer
    x = 1,002.22

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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.