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Finding the Fourth Proportional to 845.96, 1,268.70 and 298.12

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Solution

The fourth proportional to 845.96, 1,268.70 and 298.12 is: 447.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.96 : 1,268.70 = 298.12 : x
  2. Step 2: Convert to fraction form
    845.96/1,268.70 = 298.12/x
  3. Step 3: Cross multiply
    845.96x = 1,268.70 × 298.12
  4. Step 4: Simplify right side
    845.96x = 378,224.84
  5. Step 5: Solve for x
    x = 378,224.84/845.96
  6. Step 6: Final answer
    x = 447.10

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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.