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Finding the Fourth Proportional to 1,120.19, 1,679.49 and 389.66

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Solution

The fourth proportional to 1,120.19, 1,679.49 and 389.66 is: 584.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.19 : 1,679.49 = 389.66 : x
  2. Step 2: Convert to fraction form
    1,120.19/1,679.49 = 389.66/x
  3. Step 3: Cross multiply
    1,120.19x = 1,679.49 × 389.66
  4. Step 4: Simplify right side
    1,120.19x = 654,421.68
  5. Step 5: Solve for x
    x = 654,421.68/1,120.19
  6. Step 6: Final answer
    x = 584.21

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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.