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Finding the Fourth Proportional to 1,089.40, 1,633.11 and 439.69

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Solution

The fourth proportional to 1,089.40, 1,633.11 and 439.69 is: 659.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.40 : 1,633.11 = 439.69 : x
  2. Step 2: Convert to fraction form
    1,089.40/1,633.11 = 439.69/x
  3. Step 3: Cross multiply
    1,089.40x = 1,633.11 × 439.69
  4. Step 4: Simplify right side
    1,089.40x = 718,062.14
  5. Step 5: Solve for x
    x = 718,062.14/1,089.40
  6. Step 6: Final answer
    x = 659.14

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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.