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Finding the Fourth Proportional to 746.92, 1,028.46 and 744.76

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Solution

The fourth proportional to 746.92, 1,028.46 and 744.76 is: 1,025.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.92 : 1,028.46 = 744.76 : x
  2. Step 2: Convert to fraction form
    746.92/1,028.46 = 744.76/x
  3. Step 3: Cross multiply
    746.92x = 1,028.46 × 744.76
  4. Step 4: Simplify right side
    746.92x = 765,955.87
  5. Step 5: Solve for x
    x = 765,955.87/746.92
  6. Step 6: Final answer
    x = 1,025.49

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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.