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Finding the Fourth Proportional to 1,264.39, 1,896.62 and 716.56

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Solution

The fourth proportional to 1,264.39, 1,896.62 and 716.56 is: 1,074.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.39 : 1,896.62 = 716.56 : x
  2. Step 2: Convert to fraction form
    1,264.39/1,896.62 = 716.56/x
  3. Step 3: Cross multiply
    1,264.39x = 1,896.62 × 716.56
  4. Step 4: Simplify right side
    1,264.39x = 1,359,038.44
  5. Step 5: Solve for x
    x = 1,359,038.44/1,264.39
  6. Step 6: Final answer
    x = 1,074.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.