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Finding the Fourth Proportional to 789.10, 1,183.65 and 355.75

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Solution

The fourth proportional to 789.10, 1,183.65 and 355.75 is: 533.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.10 : 1,183.65 = 355.75 : x
  2. Step 2: Convert to fraction form
    789.10/1,183.65 = 355.75/x
  3. Step 3: Cross multiply
    789.10x = 1,183.65 × 355.75
  4. Step 4: Simplify right side
    789.10x = 421,083.49
  5. Step 5: Solve for x
    x = 421,083.49/789.10
  6. Step 6: Final answer
    x = 533.63

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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.