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Finding the Fourth Proportional to 1,381.97, 2,072.96 and 408.08

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Solution

The fourth proportional to 1,381.97, 2,072.96 and 408.08 is: 612.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.97 : 2,072.96 = 408.08 : x
  2. Step 2: Convert to fraction form
    1,381.97/2,072.96 = 408.08/x
  3. Step 3: Cross multiply
    1,381.97x = 2,072.96 × 408.08
  4. Step 4: Simplify right side
    1,381.97x = 845,921.11
  5. Step 5: Solve for x
    x = 845,921.11/1,381.97
  6. Step 6: Final answer
    x = 612.11

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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.