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Finding the Fourth Proportional to 1,180.66, 1,629.74 and 1,014.20

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Solution

The fourth proportional to 1,180.66, 1,629.74 and 1,014.20 is: 1,399.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.66 : 1,629.74 = 1,014.20 : x
  2. Step 2: Convert to fraction form
    1,180.66/1,629.74 = 1,014.20/x
  3. Step 3: Cross multiply
    1,180.66x = 1,629.74 × 1,014.20
  4. Step 4: Simplify right side
    1,180.66x = 1,652,884.84
  5. Step 5: Solve for x
    x = 1,652,884.84/1,180.66
  6. Step 6: Final answer
    x = 1,399.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.