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Finding the Fourth Proportional to 1,096.77, 1,521.30 and 1,057.37

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Solution

The fourth proportional to 1,096.77, 1,521.30 and 1,057.37 is: 1,466.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.77 : 1,521.30 = 1,057.37 : x
  2. Step 2: Convert to fraction form
    1,096.77/1,521.30 = 1,057.37/x
  3. Step 3: Cross multiply
    1,096.77x = 1,521.30 × 1,057.37
  4. Step 4: Simplify right side
    1,096.77x = 1,608,576.98
  5. Step 5: Solve for x
    x = 1,608,576.98/1,096.77
  6. Step 6: Final answer
    x = 1,466.65

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.