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Finding the Fourth Proportional to 746.37, 1,027.89 and 744.17

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Solution

The fourth proportional to 746.37, 1,027.89 and 744.17 is: 1,024.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.37 : 1,027.89 = 744.17 : x
  2. Step 2: Convert to fraction form
    746.37/1,027.89 = 744.17/x
  3. Step 3: Cross multiply
    746.37x = 1,027.89 × 744.17
  4. Step 4: Simplify right side
    746.37x = 764,919.76
  5. Step 5: Solve for x
    x = 764,919.76/746.37
  6. Step 6: Final answer
    x = 1,024.85

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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.