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Finding the Fourth Proportional to 1,120.67, 1,679.62 and 389.39

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Solution

The fourth proportional to 1,120.67, 1,679.62 and 389.39 is: 583.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.67 : 1,679.62 = 389.39 : x
  2. Step 2: Convert to fraction form
    1,120.67/1,679.62 = 389.39/x
  3. Step 3: Cross multiply
    1,120.67x = 1,679.62 × 389.39
  4. Step 4: Simplify right side
    1,120.67x = 654,028.04
  5. Step 5: Solve for x
    x = 654,028.04/1,120.67
  6. Step 6: Final answer
    x = 583.61

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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.