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Finding the Fourth Proportional to 1,089.32, 1,633.97 and 439.63

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Solution

The fourth proportional to 1,089.32, 1,633.97 and 439.63 is: 659.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.32 : 1,633.97 = 439.63 : x
  2. Step 2: Convert to fraction form
    1,089.32/1,633.97 = 439.63/x
  3. Step 3: Cross multiply
    1,089.32x = 1,633.97 × 439.63
  4. Step 4: Simplify right side
    1,089.32x = 718,339.25
  5. Step 5: Solve for x
    x = 718,339.25/1,089.32
  6. Step 6: Final answer
    x = 659.44

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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.