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Finding the Fourth Proportional to 1,082.12, 1,620.74 and 758.93

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Solution

The fourth proportional to 1,082.12, 1,620.74 and 758.93 is: 1,136.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.12 : 1,620.74 = 758.93 : x
  2. Step 2: Convert to fraction form
    1,082.12/1,620.74 = 758.93/x
  3. Step 3: Cross multiply
    1,082.12x = 1,620.74 × 758.93
  4. Step 4: Simplify right side
    1,082.12x = 1,230,028.21
  5. Step 5: Solve for x
    x = 1,230,028.21/1,082.12
  6. Step 6: Final answer
    x = 1,136.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.