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Finding the Fourth Proportional to 1,276.21, 1,761.24 and 716.70

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Solution

The fourth proportional to 1,276.21, 1,761.24 and 716.70 is: 989.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.21 : 1,761.24 = 716.70 : x
  2. Step 2: Convert to fraction form
    1,276.21/1,761.24 = 716.70/x
  3. Step 3: Cross multiply
    1,276.21x = 1,761.24 × 716.70
  4. Step 4: Simplify right side
    1,276.21x = 1,262,280.09
  5. Step 5: Solve for x
    x = 1,262,280.09/1,276.21
  6. Step 6: Final answer
    x = 989.09

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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.