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Finding the Fourth Proportional to 1,091.06, 1,635.25 and 505.26

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Solution

The fourth proportional to 1,091.06, 1,635.25 and 505.26 is: 757.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.06 : 1,635.25 = 505.26 : x
  2. Step 2: Convert to fraction form
    1,091.06/1,635.25 = 505.26/x
  3. Step 3: Cross multiply
    1,091.06x = 1,635.25 × 505.26
  4. Step 4: Simplify right side
    1,091.06x = 826,226.42
  5. Step 5: Solve for x
    x = 826,226.42/1,091.06
  6. Step 6: Final answer
    x = 757.27

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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.