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Finding the Fourth Proportional to 845.72, 1,268.64 and 325.97

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Solution

The fourth proportional to 845.72, 1,268.64 and 325.97 is: 488.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.72 : 1,268.64 = 325.97 : x
  2. Step 2: Convert to fraction form
    845.72/1,268.64 = 325.97/x
  3. Step 3: Cross multiply
    845.72x = 1,268.64 × 325.97
  4. Step 4: Simplify right side
    845.72x = 413,532.24
  5. Step 5: Solve for x
    x = 413,532.24/845.72
  6. Step 6: Final answer
    x = 488.97

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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.