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Finding the Fourth Proportional to 788.70, 1,183.76 and 785.76

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Solution

The fourth proportional to 788.70, 1,183.76 and 785.76 is: 1,179.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.70 : 1,183.76 = 785.76 : x
  2. Step 2: Convert to fraction form
    788.70/1,183.76 = 785.76/x
  3. Step 3: Cross multiply
    788.70x = 1,183.76 × 785.76
  4. Step 4: Simplify right side
    788.70x = 930,147.33
  5. Step 5: Solve for x
    x = 930,147.33/788.70
  6. Step 6: Final answer
    x = 1,179.34

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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.