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Finding the Fourth Proportional to 1,205.94, 1,662.59 and 1,082.93

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Solution

The fourth proportional to 1,205.94, 1,662.59 and 1,082.93 is: 1,493.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.94 : 1,662.59 = 1,082.93 : x
  2. Step 2: Convert to fraction form
    1,205.94/1,662.59 = 1,082.93/x
  3. Step 3: Cross multiply
    1,205.94x = 1,662.59 × 1,082.93
  4. Step 4: Simplify right side
    1,205.94x = 1,800,462.98
  5. Step 5: Solve for x
    x = 1,800,462.98/1,205.94
  6. Step 6: Final answer
    x = 1,493.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.