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Finding the Fourth Proportional to 1,270.36, 1,906.62 and 906.04

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Solution

The fourth proportional to 1,270.36, 1,906.62 and 906.04 is: 1,359.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.36 : 1,906.62 = 906.04 : x
  2. Step 2: Convert to fraction form
    1,270.36/1,906.62 = 906.04/x
  3. Step 3: Cross multiply
    1,270.36x = 1,906.62 × 906.04
  4. Step 4: Simplify right side
    1,270.36x = 1,727,473.98
  5. Step 5: Solve for x
    x = 1,727,473.98/1,270.36
  6. Step 6: Final answer
    x = 1,359.83

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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.