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Finding the Fourth Proportional to 905.22, 1,363.99 and 746.46

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Solution

The fourth proportional to 905.22, 1,363.99 and 746.46 is: 1,124.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.22 : 1,363.99 = 746.46 : x
  2. Step 2: Convert to fraction form
    905.22/1,363.99 = 746.46/x
  3. Step 3: Cross multiply
    905.22x = 1,363.99 × 746.46
  4. Step 4: Simplify right side
    905.22x = 1,018,163.98
  5. Step 5: Solve for x
    x = 1,018,163.98/905.22
  6. Step 6: Final answer
    x = 1,124.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.