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Finding the Fourth Proportional to 1,414.05, 1,951.59 and 854.60

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Solution

The fourth proportional to 1,414.05, 1,951.59 and 854.60 is: 1,179.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.05 : 1,951.59 = 854.60 : x
  2. Step 2: Convert to fraction form
    1,414.05/1,951.59 = 854.60/x
  3. Step 3: Cross multiply
    1,414.05x = 1,951.59 × 854.60
  4. Step 4: Simplify right side
    1,414.05x = 1,667,828.81
  5. Step 5: Solve for x
    x = 1,667,828.81/1,414.05
  6. Step 6: Final answer
    x = 1,179.47

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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.