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Finding the Fourth Proportional to 788.53, 1,183.52 and 398.80

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Solution

The fourth proportional to 788.53, 1,183.52 and 398.80 is: 598.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.53 : 1,183.52 = 398.80 : x
  2. Step 2: Convert to fraction form
    788.53/1,183.52 = 398.80/x
  3. Step 3: Cross multiply
    788.53x = 1,183.52 × 398.80
  4. Step 4: Simplify right side
    788.53x = 471,993.21
  5. Step 5: Solve for x
    x = 471,993.21/788.53
  6. Step 6: Final answer
    x = 598.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.