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Finding the Fourth Proportional to 1,082.09, 1,623.14 and 1,075.61

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Solution

The fourth proportional to 1,082.09, 1,623.14 and 1,075.61 is: 1,613.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.09 : 1,623.14 = 1,075.61 : x
  2. Step 2: Convert to fraction form
    1,082.09/1,623.14 = 1,075.61/x
  3. Step 3: Cross multiply
    1,082.09x = 1,623.14 × 1,075.61
  4. Step 4: Simplify right side
    1,082.09x = 1,745,865.62
  5. Step 5: Solve for x
    x = 1,745,865.62/1,082.09
  6. Step 6: Final answer
    x = 1,613.42

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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.