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Finding the Fourth Proportional to 1,296.71, 1,789.67 and 773.05

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Solution

The fourth proportional to 1,296.71, 1,789.67 and 773.05 is: 1,066.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.71 : 1,789.67 = 773.05 : x
  2. Step 2: Convert to fraction form
    1,296.71/1,789.67 = 773.05/x
  3. Step 3: Cross multiply
    1,296.71x = 1,789.67 × 773.05
  4. Step 4: Simplify right side
    1,296.71x = 1,383,491.58
  5. Step 5: Solve for x
    x = 1,383,491.58/1,296.71
  6. Step 6: Final answer
    x = 1,066.92

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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.