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Finding the Fourth Proportional to 1,276.70, 1,761.74 and 717.04

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Solution

The fourth proportional to 1,276.70, 1,761.74 and 717.04 is: 989.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.70 : 1,761.74 = 717.04 : x
  2. Step 2: Convert to fraction form
    1,276.70/1,761.74 = 717.04/x
  3. Step 3: Cross multiply
    1,276.70x = 1,761.74 × 717.04
  4. Step 4: Simplify right side
    1,276.70x = 1,263,238.05
  5. Step 5: Solve for x
    x = 1,263,238.05/1,276.70
  6. Step 6: Final answer
    x = 989.46

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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.