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Finding the Fourth Proportional to 1,259.82, 1,890.09 and 490.86

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Solution

The fourth proportional to 1,259.82, 1,890.09 and 490.86 is: 736.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.82 : 1,890.09 = 490.86 : x
  2. Step 2: Convert to fraction form
    1,259.82/1,890.09 = 490.86/x
  3. Step 3: Cross multiply
    1,259.82x = 1,890.09 × 490.86
  4. Step 4: Simplify right side
    1,259.82x = 927,769.58
  5. Step 5: Solve for x
    x = 927,769.58/1,259.82
  6. Step 6: Final answer
    x = 736.43

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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.