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Finding the Fourth Proportional to 855.75, 1,273.83 and 815.94

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Solution

The fourth proportional to 855.75, 1,273.83 and 815.94 is: 1,214.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.75 : 1,273.83 = 815.94 : x
  2. Step 2: Convert to fraction form
    855.75/1,273.83 = 815.94/x
  3. Step 3: Cross multiply
    855.75x = 1,273.83 × 815.94
  4. Step 4: Simplify right side
    855.75x = 1,039,368.85
  5. Step 5: Solve for x
    x = 1,039,368.85/855.75
  6. Step 6: Final answer
    x = 1,214.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.