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Finding the Fourth Proportional to 845.73, 1,269.81 and 823.86

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Solution

The fourth proportional to 845.73, 1,269.81 and 823.86 is: 1,236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.73 : 1,269.81 = 823.86 : x
  2. Step 2: Convert to fraction form
    845.73/1,269.81 = 823.86/x
  3. Step 3: Cross multiply
    845.73x = 1,269.81 × 823.86
  4. Step 4: Simplify right side
    845.73x = 1,046,145.67
  5. Step 5: Solve for x
    x = 1,046,145.67/845.73
  6. Step 6: Final answer
    x = 1,236.97

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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.