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Finding the Fourth Proportional to 746.26, 1,028.24 and 535.76

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Solution

The fourth proportional to 746.26, 1,028.24 and 535.76 is: 738.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.26 : 1,028.24 = 535.76 : x
  2. Step 2: Convert to fraction form
    746.26/1,028.24 = 535.76/x
  3. Step 3: Cross multiply
    746.26x = 1,028.24 × 535.76
  4. Step 4: Simplify right side
    746.26x = 550,896.70
  5. Step 5: Solve for x
    x = 550,896.70/746.26
  6. Step 6: Final answer
    x = 738.21

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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.