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Finding the Fourth Proportional to 788.27, 1,181.99 and 392.92

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Solution

The fourth proportional to 788.27, 1,181.99 and 392.92 is: 589.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.27 : 1,181.99 = 392.92 : x
  2. Step 2: Convert to fraction form
    788.27/1,181.99 = 392.92/x
  3. Step 3: Cross multiply
    788.27x = 1,181.99 × 392.92
  4. Step 4: Simplify right side
    788.27x = 464,425.54
  5. Step 5: Solve for x
    x = 464,425.54/788.27
  6. Step 6: Final answer
    x = 589.17

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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.