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Finding the Fourth Proportional to 884.61, 1,220.93 and 511.83

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Solution

The fourth proportional to 884.61, 1,220.93 and 511.83 is: 706.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.61 : 1,220.93 = 511.83 : x
  2. Step 2: Convert to fraction form
    884.61/1,220.93 = 511.83/x
  3. Step 3: Cross multiply
    884.61x = 1,220.93 × 511.83
  4. Step 4: Simplify right side
    884.61x = 624,908.60
  5. Step 5: Solve for x
    x = 624,908.60/884.61
  6. Step 6: Final answer
    x = 706.42

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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.