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Finding the Fourth Proportional to 1,270.80, 1,906.34 and 490.77

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Solution

The fourth proportional to 1,270.80, 1,906.34 and 490.77 is: 736.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.80 : 1,906.34 = 490.77 : x
  2. Step 2: Convert to fraction form
    1,270.80/1,906.34 = 490.77/x
  3. Step 3: Cross multiply
    1,270.80x = 1,906.34 × 490.77
  4. Step 4: Simplify right side
    1,270.80x = 935,572.03
  5. Step 5: Solve for x
    x = 935,572.03/1,270.80
  6. Step 6: Final answer
    x = 736.21

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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.