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Finding the Fourth Proportional to 788.05, 1,181.49 and 543.88

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Solution

The fourth proportional to 788.05, 1,181.49 and 543.88 is: 815.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.05 : 1,181.49 = 543.88 : x
  2. Step 2: Convert to fraction form
    788.05/1,181.49 = 543.88/x
  3. Step 3: Cross multiply
    788.05x = 1,181.49 × 543.88
  4. Step 4: Simplify right side
    788.05x = 642,588.78
  5. Step 5: Solve for x
    x = 642,588.78/788.05
  6. Step 6: Final answer
    x = 815.42

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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.