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Finding the Fourth Proportional to 1,260.20, 1,735.41 and 1,179.98

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Solution

The fourth proportional to 1,260.20, 1,735.41 and 1,179.98 is: 1,624.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.20 : 1,735.41 = 1,179.98 : x
  2. Step 2: Convert to fraction form
    1,260.20/1,735.41 = 1,179.98/x
  3. Step 3: Cross multiply
    1,260.20x = 1,735.41 × 1,179.98
  4. Step 4: Simplify right side
    1,260.20x = 2,047,749.09
  5. Step 5: Solve for x
    x = 2,047,749.09/1,260.20
  6. Step 6: Final answer
    x = 1,624.94

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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.