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Finding the Fourth Proportional to 1,260.28, 1,739.40 and 736.21

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Solution

The fourth proportional to 1,260.28, 1,739.40 and 736.21 is: 1,016.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.28 : 1,739.40 = 736.21 : x
  2. Step 2: Convert to fraction form
    1,260.28/1,739.40 = 736.21/x
  3. Step 3: Cross multiply
    1,260.28x = 1,739.40 × 736.21
  4. Step 4: Simplify right side
    1,260.28x = 1,280,563.09
  5. Step 5: Solve for x
    x = 1,280,563.09/1,260.28
  6. Step 6: Final answer
    x = 1,016.09

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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.