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Finding the Fourth Proportional to 891.75, 1,339.06 and 854.31

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Solution

The fourth proportional to 891.75, 1,339.06 and 854.31 is: 1,282.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.75 : 1,339.06 = 854.31 : x
  2. Step 2: Convert to fraction form
    891.75/1,339.06 = 854.31/x
  3. Step 3: Cross multiply
    891.75x = 1,339.06 × 854.31
  4. Step 4: Simplify right side
    891.75x = 1,143,972.35
  5. Step 5: Solve for x
    x = 1,143,972.35/891.75
  6. Step 6: Final answer
    x = 1,282.84

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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.