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Finding the Fourth Proportional to 1,270.09, 1,905.82 and 490.63

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Solution

The fourth proportional to 1,270.09, 1,905.82 and 490.63 is: 736.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.09 : 1,905.82 = 490.63 : x
  2. Step 2: Convert to fraction form
    1,270.09/1,905.82 = 490.63/x
  3. Step 3: Cross multiply
    1,270.09x = 1,905.82 × 490.63
  4. Step 4: Simplify right side
    1,270.09x = 935,054.85
  5. Step 5: Solve for x
    x = 935,054.85/1,270.09
  6. Step 6: Final answer
    x = 736.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.