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Finding the Fourth Proportional to 845.62, 1,268.69 and 401.23

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Solution

The fourth proportional to 845.62, 1,268.69 and 401.23 is: 601.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.62 : 1,268.69 = 401.23 : x
  2. Step 2: Convert to fraction form
    845.62/1,268.69 = 401.23/x
  3. Step 3: Cross multiply
    845.62x = 1,268.69 × 401.23
  4. Step 4: Simplify right side
    845.62x = 509,037.49
  5. Step 5: Solve for x
    x = 509,037.49/845.62
  6. Step 6: Final answer
    x = 601.97

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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.