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Finding the Fourth Proportional to 1,181.19, 1,771.17 and 811.56

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Solution

The fourth proportional to 1,181.19, 1,771.17 and 811.56 is: 1,216.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.19 : 1,771.17 = 811.56 : x
  2. Step 2: Convert to fraction form
    1,181.19/1,771.17 = 811.56/x
  3. Step 3: Cross multiply
    1,181.19x = 1,771.17 × 811.56
  4. Step 4: Simplify right side
    1,181.19x = 1,437,410.73
  5. Step 5: Solve for x
    x = 1,437,410.73/1,181.19
  6. Step 6: Final answer
    x = 1,216.92

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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.