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Finding the Fourth Proportional to 788.78, 1,183.08 and 350.03

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Solution

The fourth proportional to 788.78, 1,183.08 and 350.03 is: 525.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.78 : 1,183.08 = 350.03 : x
  2. Step 2: Convert to fraction form
    788.78/1,183.08 = 350.03/x
  3. Step 3: Cross multiply
    788.78x = 1,183.08 × 350.03
  4. Step 4: Simplify right side
    788.78x = 414,118.44
  5. Step 5: Solve for x
    x = 414,118.44/788.78
  6. Step 6: Final answer
    x = 525.01

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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.