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Finding the Fourth Proportional to 1,120.25, 1,680.38 and 389.66

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Solution

The fourth proportional to 1,120.25, 1,680.38 and 389.66 is: 584.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.25 : 1,680.38 = 389.66 : x
  2. Step 2: Convert to fraction form
    1,120.25/1,680.38 = 389.66/x
  3. Step 3: Cross multiply
    1,120.25x = 1,680.38 × 389.66
  4. Step 4: Simplify right side
    1,120.25x = 654,769.44
  5. Step 5: Solve for x
    x = 654,769.44/1,120.25
  6. Step 6: Final answer
    x = 584.48

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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.