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Finding the Fourth Proportional to 1,089.44, 1,633.62 and 395.99

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Solution

The fourth proportional to 1,089.44, 1,633.62 and 395.99 is: 593.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.44 : 1,633.62 = 395.99 : x
  2. Step 2: Convert to fraction form
    1,089.44/1,633.62 = 395.99/x
  3. Step 3: Cross multiply
    1,089.44x = 1,633.62 × 395.99
  4. Step 4: Simplify right side
    1,089.44x = 646,897.18
  5. Step 5: Solve for x
    x = 646,897.18/1,089.44
  6. Step 6: Final answer
    x = 593.79

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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.