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Finding the Fourth Proportional to 1,380.72, 1,904.14 and 908.45

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Solution

The fourth proportional to 1,380.72, 1,904.14 and 908.45 is: 1,252.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.72 : 1,904.14 = 908.45 : x
  2. Step 2: Convert to fraction form
    1,380.72/1,904.14 = 908.45/x
  3. Step 3: Cross multiply
    1,380.72x = 1,904.14 × 908.45
  4. Step 4: Simplify right side
    1,380.72x = 1,729,814.74
  5. Step 5: Solve for x
    x = 1,729,814.74/1,380.72
  6. Step 6: Final answer
    x = 1,252.83

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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.