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Finding the Fourth Proportional to 788.23, 1,182.39 and 355.42

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Solution

The fourth proportional to 788.23, 1,182.39 and 355.42 is: 533.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.23 : 1,182.39 = 355.42 : x
  2. Step 2: Convert to fraction form
    788.23/1,182.39 = 355.42/x
  3. Step 3: Cross multiply
    788.23x = 1,182.39 × 355.42
  4. Step 4: Simplify right side
    788.23x = 420,245.05
  5. Step 5: Solve for x
    x = 420,245.05/788.23
  6. Step 6: Final answer
    x = 533.15

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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.