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Finding the Fourth Proportional to 1,276.25, 1,761.29 and 716.69

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Solution

The fourth proportional to 1,276.25, 1,761.29 and 716.69 is: 989.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.25 : 1,761.29 = 716.69 : x
  2. Step 2: Convert to fraction form
    1,276.25/1,761.29 = 716.69/x
  3. Step 3: Cross multiply
    1,276.25x = 1,761.29 × 716.69
  4. Step 4: Simplify right side
    1,276.25x = 1,262,298.93
  5. Step 5: Solve for x
    x = 1,262,298.93/1,276.25
  6. Step 6: Final answer
    x = 989.07

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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.