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Finding the Fourth Proportional to 1,120.09, 1,679.19 and 389.65

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Solution

The fourth proportional to 1,120.09, 1,679.19 and 389.65 is: 584.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.09 : 1,679.19 = 389.65 : x
  2. Step 2: Convert to fraction form
    1,120.09/1,679.19 = 389.65/x
  3. Step 3: Cross multiply
    1,120.09x = 1,679.19 × 389.65
  4. Step 4: Simplify right side
    1,120.09x = 654,296.38
  5. Step 5: Solve for x
    x = 654,296.38/1,120.09
  6. Step 6: Final answer
    x = 584.15

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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.