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Finding the Fourth Proportional to 1,100.12, 1,650.20 and 730.67

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Solution

The fourth proportional to 1,100.12, 1,650.20 and 730.67 is: 1,096.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.12 : 1,650.20 = 730.67 : x
  2. Step 2: Convert to fraction form
    1,100.12/1,650.20 = 730.67/x
  3. Step 3: Cross multiply
    1,100.12x = 1,650.20 × 730.67
  4. Step 4: Simplify right side
    1,100.12x = 1,205,739.73
  5. Step 5: Solve for x
    x = 1,205,739.73/1,100.12
  6. Step 6: Final answer
    x = 1,096.01

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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.