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Finding the Fourth Proportional to 1,383.91, 1,909.79 and 762.91

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Solution

The fourth proportional to 1,383.91, 1,909.79 and 762.91 is: 1,052.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.91 : 1,909.79 = 762.91 : x
  2. Step 2: Convert to fraction form
    1,383.91/1,909.79 = 762.91/x
  3. Step 3: Cross multiply
    1,383.91x = 1,909.79 × 762.91
  4. Step 4: Simplify right side
    1,383.91x = 1,456,997.89
  5. Step 5: Solve for x
    x = 1,456,997.89/1,383.91
  6. Step 6: Final answer
    x = 1,052.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.