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Finding the Fourth Proportional to 1,072.24, 1,604.22 and 949.12

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Solution

The fourth proportional to 1,072.24, 1,604.22 and 949.12 is: 1,420.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.24 : 1,604.22 = 949.12 : x
  2. Step 2: Convert to fraction form
    1,072.24/1,604.22 = 949.12/x
  3. Step 3: Cross multiply
    1,072.24x = 1,604.22 × 949.12
  4. Step 4: Simplify right side
    1,072.24x = 1,522,597.29
  5. Step 5: Solve for x
    x = 1,522,597.29/1,072.24
  6. Step 6: Final answer
    x = 1,420.02

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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.