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Finding the Fourth Proportional to 884.94, 1,221.09 and 511.83

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Solution

The fourth proportional to 884.94, 1,221.09 and 511.83 is: 706.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.94 : 1,221.09 = 511.83 : x
  2. Step 2: Convert to fraction form
    884.94/1,221.09 = 511.83/x
  3. Step 3: Cross multiply
    884.94x = 1,221.09 × 511.83
  4. Step 4: Simplify right side
    884.94x = 624,990.49
  5. Step 5: Solve for x
    x = 624,990.49/884.94
  6. Step 6: Final answer
    x = 706.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.