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Finding the Fourth Proportional to 788.88, 1,183.19 and 355.94

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Solution

The fourth proportional to 788.88, 1,183.19 and 355.94 is: 533.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.88 : 1,183.19 = 355.94 : x
  2. Step 2: Convert to fraction form
    788.88/1,183.19 = 355.94/x
  3. Step 3: Cross multiply
    788.88x = 1,183.19 × 355.94
  4. Step 4: Simplify right side
    788.88x = 421,136.95
  5. Step 5: Solve for x
    x = 421,136.95/788.88
  6. Step 6: Final answer
    x = 533.84

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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.