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Finding the Fourth Proportional to 1,274.49, 1,755.18 and 994.23

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Solution

The fourth proportional to 1,274.49, 1,755.18 and 994.23 is: 1,369.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.49 : 1,755.18 = 994.23 : x
  2. Step 2: Convert to fraction form
    1,274.49/1,755.18 = 994.23/x
  3. Step 3: Cross multiply
    1,274.49x = 1,755.18 × 994.23
  4. Step 4: Simplify right side
    1,274.49x = 1,745,052.61
  5. Step 5: Solve for x
    x = 1,745,052.61/1,274.49
  6. Step 6: Final answer
    x = 1,369.22

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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.