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Finding the Fourth Proportional to 1,200.67, 1,790.63 and 1,172.72

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Solution

The fourth proportional to 1,200.67, 1,790.63 and 1,172.72 is: 1,748.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.67 : 1,790.63 = 1,172.72 : x
  2. Step 2: Convert to fraction form
    1,200.67/1,790.63 = 1,172.72/x
  3. Step 3: Cross multiply
    1,200.67x = 1,790.63 × 1,172.72
  4. Step 4: Simplify right side
    1,200.67x = 2,099,910.62
  5. Step 5: Solve for x
    x = 2,099,910.62/1,200.67
  6. Step 6: Final answer
    x = 1,748.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.