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Finding the Fourth Proportional to 905.27, 1,247.82 and 739.19

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Solution

The fourth proportional to 905.27, 1,247.82 and 739.19 is: 1,018.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.27 : 1,247.82 = 739.19 : x
  2. Step 2: Convert to fraction form
    905.27/1,247.82 = 739.19/x
  3. Step 3: Cross multiply
    905.27x = 1,247.82 × 739.19
  4. Step 4: Simplify right side
    905.27x = 922,376.07
  5. Step 5: Solve for x
    x = 922,376.07/905.27
  6. Step 6: Final answer
    x = 1,018.90

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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.