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Finding the Fourth Proportional to 1,380.72, 1,906.09 and 908.93

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Solution

The fourth proportional to 1,380.72, 1,906.09 and 908.93 is: 1,254.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.72 : 1,906.09 = 908.93 : x
  2. Step 2: Convert to fraction form
    1,380.72/1,906.09 = 908.93/x
  3. Step 3: Cross multiply
    1,380.72x = 1,906.09 × 908.93
  4. Step 4: Simplify right side
    1,380.72x = 1,732,490.58
  5. Step 5: Solve for x
    x = 1,732,490.58/1,380.72
  6. Step 6: Final answer
    x = 1,254.77

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