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Finding the Fourth Proportional to 1,003.19, 1,383.05 and 767.27

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Solution

The fourth proportional to 1,003.19, 1,383.05 and 767.27 is: 1,057.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.19 : 1,383.05 = 767.27 : x
  2. Step 2: Convert to fraction form
    1,003.19/1,383.05 = 767.27/x
  3. Step 3: Cross multiply
    1,003.19x = 1,383.05 × 767.27
  4. Step 4: Simplify right side
    1,003.19x = 1,061,162.02
  5. Step 5: Solve for x
    x = 1,061,162.02/1,003.19
  6. Step 6: Final answer
    x = 1,057.79

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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.