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Finding the Fourth Proportional to 845.86, 1,268.52 and 298.03

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Solution

The fourth proportional to 845.86, 1,268.52 and 298.03 is: 446.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.86 : 1,268.52 = 298.03 : x
  2. Step 2: Convert to fraction form
    845.86/1,268.52 = 298.03/x
  3. Step 3: Cross multiply
    845.86x = 1,268.52 × 298.03
  4. Step 4: Simplify right side
    845.86x = 378,057.02
  5. Step 5: Solve for x
    x = 378,057.02/845.86
  6. Step 6: Final answer
    x = 446.95

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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.