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Finding the Fourth Proportional to 1,091.22, 1,637.12 and 475.06

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Solution

The fourth proportional to 1,091.22, 1,637.12 and 475.06 is: 712.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.22 : 1,637.12 = 475.06 : x
  2. Step 2: Convert to fraction form
    1,091.22/1,637.12 = 475.06/x
  3. Step 3: Cross multiply
    1,091.22x = 1,637.12 × 475.06
  4. Step 4: Simplify right side
    1,091.22x = 777,727.32
  5. Step 5: Solve for x
    x = 777,727.32/1,091.22
  6. Step 6: Final answer
    x = 712.71

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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.