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Finding the Fourth Proportional to 858.97, 1,286.62 and 419.54

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Solution

The fourth proportional to 858.97, 1,286.62 and 419.54 is: 628.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.97 : 1,286.62 = 419.54 : x
  2. Step 2: Convert to fraction form
    858.97/1,286.62 = 419.54/x
  3. Step 3: Cross multiply
    858.97x = 1,286.62 × 419.54
  4. Step 4: Simplify right side
    858.97x = 539,787.51
  5. Step 5: Solve for x
    x = 539,787.51/858.97
  6. Step 6: Final answer
    x = 628.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.