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Finding the Fourth Proportional to 1,229.29, 1,695.14 and 949.57

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Solution

The fourth proportional to 1,229.29, 1,695.14 and 949.57 is: 1,309.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.29 : 1,695.14 = 949.57 : x
  2. Step 2: Convert to fraction form
    1,229.29/1,695.14 = 949.57/x
  3. Step 3: Cross multiply
    1,229.29x = 1,695.14 × 949.57
  4. Step 4: Simplify right side
    1,229.29x = 1,609,654.09
  5. Step 5: Solve for x
    x = 1,609,654.09/1,229.29
  6. Step 6: Final answer
    x = 1,309.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.