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Finding the Fourth Proportional to 862.94, 1,285.83 and 821.09

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Solution

The fourth proportional to 862.94, 1,285.83 and 821.09 is: 1,223.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.94 : 1,285.83 = 821.09 : x
  2. Step 2: Convert to fraction form
    862.94/1,285.83 = 821.09/x
  3. Step 3: Cross multiply
    862.94x = 1,285.83 × 821.09
  4. Step 4: Simplify right side
    862.94x = 1,055,778.05
  5. Step 5: Solve for x
    x = 1,055,778.05/862.94
  6. Step 6: Final answer
    x = 1,223.47

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Why These Related Problems?

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