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Finding the Fourth Proportional to 788.62, 1,181.12 and 378.05

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Solution

The fourth proportional to 788.62, 1,181.12 and 378.05 is: 566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.62 : 1,181.12 = 378.05 : x
  2. Step 2: Convert to fraction form
    788.62/1,181.12 = 378.05/x
  3. Step 3: Cross multiply
    788.62x = 1,181.12 × 378.05
  4. Step 4: Simplify right side
    788.62x = 446,516.51
  5. Step 5: Solve for x
    x = 446,516.51/788.62
  6. Step 6: Final answer
    x = 566.20

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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.