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Finding the Fourth Proportional to 845.36, 1,267.16 and 411.92

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Solution

The fourth proportional to 845.36, 1,267.16 and 411.92 is: 617.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.36 : 1,267.16 = 411.92 : x
  2. Step 2: Convert to fraction form
    845.36/1,267.16 = 411.92/x
  3. Step 3: Cross multiply
    845.36x = 1,267.16 × 411.92
  4. Step 4: Simplify right side
    845.36x = 521,968.55
  5. Step 5: Solve for x
    x = 521,968.55/845.36
  6. Step 6: Final answer
    x = 617.45

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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.