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Finding the Fourth Proportional to 1,200.63, 1,800.94 and 791.59

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Solution

The fourth proportional to 1,200.63, 1,800.94 and 791.59 is: 1,187.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.63 : 1,800.94 = 791.59 : x
  2. Step 2: Convert to fraction form
    1,200.63/1,800.94 = 791.59/x
  3. Step 3: Cross multiply
    1,200.63x = 1,800.94 × 791.59
  4. Step 4: Simplify right side
    1,200.63x = 1,425,607.08
  5. Step 5: Solve for x
    x = 1,425,607.08/1,200.63
  6. Step 6: Final answer
    x = 1,187.39

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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.