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Finding the Fourth Proportional to 1,414.62, 1,950.73 and 854.98

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Solution

The fourth proportional to 1,414.62, 1,950.73 and 854.98 is: 1,179.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.62 : 1,950.73 = 854.98 : x
  2. Step 2: Convert to fraction form
    1,414.62/1,950.73 = 854.98/x
  3. Step 3: Cross multiply
    1,414.62x = 1,950.73 × 854.98
  4. Step 4: Simplify right side
    1,414.62x = 1,667,835.14
  5. Step 5: Solve for x
    x = 1,667,835.14/1,414.62
  6. Step 6: Final answer
    x = 1,179.00

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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.