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Finding the Fourth Proportional to 1,110.75, 1,532.91 and 668.67

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Solution

The fourth proportional to 1,110.75, 1,532.91 and 668.67 is: 922.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.75 : 1,532.91 = 668.67 : x
  2. Step 2: Convert to fraction form
    1,110.75/1,532.91 = 668.67/x
  3. Step 3: Cross multiply
    1,110.75x = 1,532.91 × 668.67
  4. Step 4: Simplify right side
    1,110.75x = 1,025,010.93
  5. Step 5: Solve for x
    x = 1,025,010.93/1,110.75
  6. Step 6: Final answer
    x = 922.81

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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.