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Finding the Fourth Proportional to 1,181.56, 1,764.29 and 1,057.36

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Solution

The fourth proportional to 1,181.56, 1,764.29 and 1,057.36 is: 1,578.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.56 : 1,764.29 = 1,057.36 : x
  2. Step 2: Convert to fraction form
    1,181.56/1,764.29 = 1,057.36/x
  3. Step 3: Cross multiply
    1,181.56x = 1,764.29 × 1,057.36
  4. Step 4: Simplify right side
    1,181.56x = 1,865,489.67
  5. Step 5: Solve for x
    x = 1,865,489.67/1,181.56
  6. Step 6: Final answer
    x = 1,578.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.