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Finding the Fourth Proportional to 1,089.13, 1,632.11 and 504.31

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Solution

The fourth proportional to 1,089.13, 1,632.11 and 504.31 is: 755.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.13 : 1,632.11 = 504.31 : x
  2. Step 2: Convert to fraction form
    1,089.13/1,632.11 = 504.31/x
  3. Step 3: Cross multiply
    1,089.13x = 1,632.11 × 504.31
  4. Step 4: Simplify right side
    1,089.13x = 823,082.79
  5. Step 5: Solve for x
    x = 823,082.79/1,089.13
  6. Step 6: Final answer
    x = 755.73

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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.