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Finding the Fourth Proportional to 845.54, 1,268.86 and 412.46

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Solution

The fourth proportional to 845.54, 1,268.86 and 412.46 is: 618.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.54 : 1,268.86 = 412.46 : x
  2. Step 2: Convert to fraction form
    845.54/1,268.86 = 412.46/x
  3. Step 3: Cross multiply
    845.54x = 1,268.86 × 412.46
  4. Step 4: Simplify right side
    845.54x = 523,356.14
  5. Step 5: Solve for x
    x = 523,356.14/845.54
  6. Step 6: Final answer
    x = 618.96

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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.