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Finding the Fourth Proportional to 855.01, 1,284.06 and 789.94

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Solution

The fourth proportional to 855.01, 1,284.06 and 789.94 is: 1,186.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.01 : 1,284.06 = 789.94 : x
  2. Step 2: Convert to fraction form
    855.01/1,284.06 = 789.94/x
  3. Step 3: Cross multiply
    855.01x = 1,284.06 × 789.94
  4. Step 4: Simplify right side
    855.01x = 1,014,330.36
  5. Step 5: Solve for x
    x = 1,014,330.36/855.01
  6. Step 6: Final answer
    x = 1,186.34

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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.