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Finding the Fourth Proportional to 788.76, 1,183.77 and 423.81

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Solution

The fourth proportional to 788.76, 1,183.77 and 423.81 is: 636.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.76 : 1,183.77 = 423.81 : x
  2. Step 2: Convert to fraction form
    788.76/1,183.77 = 423.81/x
  3. Step 3: Cross multiply
    788.76x = 1,183.77 × 423.81
  4. Step 4: Simplify right side
    788.76x = 501,693.56
  5. Step 5: Solve for x
    x = 501,693.56/788.76
  6. Step 6: Final answer
    x = 636.05

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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.