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Finding the Fourth Proportional to 1,091.62, 1,637.76 and 629.73

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Solution

The fourth proportional to 1,091.62, 1,637.76 and 629.73 is: 944.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.62 : 1,637.76 = 629.73 : x
  2. Step 2: Convert to fraction form
    1,091.62/1,637.76 = 629.73/x
  3. Step 3: Cross multiply
    1,091.62x = 1,637.76 × 629.73
  4. Step 4: Simplify right side
    1,091.62x = 1,031,347.31
  5. Step 5: Solve for x
    x = 1,031,347.31/1,091.62
  6. Step 6: Final answer
    x = 944.78

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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.