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Finding the Fourth Proportional to 906.37, 1,357.68 and 796.82

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Solution

The fourth proportional to 906.37, 1,357.68 and 796.82 is: 1,193.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.37 : 1,357.68 = 796.82 : x
  2. Step 2: Convert to fraction form
    906.37/1,357.68 = 796.82/x
  3. Step 3: Cross multiply
    906.37x = 1,357.68 × 796.82
  4. Step 4: Simplify right side
    906.37x = 1,081,826.58
  5. Step 5: Solve for x
    x = 1,081,826.58/906.37
  6. Step 6: Final answer
    x = 1,193.58

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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.