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Finding the Fourth Proportional to 846.21, 1,267.49 and 825.56

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Solution

The fourth proportional to 846.21, 1,267.49 and 825.56 is: 1,236.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.21 : 1,267.49 = 825.56 : x
  2. Step 2: Convert to fraction form
    846.21/1,267.49 = 825.56/x
  3. Step 3: Cross multiply
    846.21x = 1,267.49 × 825.56
  4. Step 4: Simplify right side
    846.21x = 1,046,378.58
  5. Step 5: Solve for x
    x = 1,046,378.58/846.21
  6. Step 6: Final answer
    x = 1,236.55

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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.