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Finding the Fourth Proportional to 746.96, 1,121.04 and 561.67

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Solution

The fourth proportional to 746.96, 1,121.04 and 561.67 is: 842.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.96 : 1,121.04 = 561.67 : x
  2. Step 2: Convert to fraction form
    746.96/1,121.04 = 561.67/x
  3. Step 3: Cross multiply
    746.96x = 1,121.04 × 561.67
  4. Step 4: Simplify right side
    746.96x = 629,651.73
  5. Step 5: Solve for x
    x = 629,651.73/746.96
  6. Step 6: Final answer
    x = 842.96

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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.