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Finding the Fourth Proportional to 845.57, 1,267.89 and 412.73

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Solution

The fourth proportional to 845.57, 1,267.89 and 412.73 is: 618.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.57 : 1,267.89 = 412.73 : x
  2. Step 2: Convert to fraction form
    845.57/1,267.89 = 412.73/x
  3. Step 3: Cross multiply
    845.57x = 1,267.89 × 412.73
  4. Step 4: Simplify right side
    845.57x = 523,293.11
  5. Step 5: Solve for x
    x = 523,293.11/845.57
  6. Step 6: Final answer
    x = 618.86

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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.