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Finding the Fourth Proportional to 788.82, 1,185.30 and 739.62

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Solution

The fourth proportional to 788.82, 1,185.30 and 739.62 is: 1,111.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.82 : 1,185.30 = 739.62 : x
  2. Step 2: Convert to fraction form
    788.82/1,185.30 = 739.62/x
  3. Step 3: Cross multiply
    788.82x = 1,185.30 × 739.62
  4. Step 4: Simplify right side
    788.82x = 876,671.59
  5. Step 5: Solve for x
    x = 876,671.59/788.82
  6. Step 6: Final answer
    x = 1,111.37

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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.