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Finding the Fourth Proportional to 845.51, 1,268.31 and 412.67

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Solution

The fourth proportional to 845.51, 1,268.31 and 412.67 is: 619.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.51 : 1,268.31 = 412.67 : x
  2. Step 2: Convert to fraction form
    845.51/1,268.31 = 412.67/x
  3. Step 3: Cross multiply
    845.51x = 1,268.31 × 412.67
  4. Step 4: Simplify right side
    845.51x = 523,387.15
  5. Step 5: Solve for x
    x = 523,387.15/845.51
  6. Step 6: Final answer
    x = 619.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.