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Finding the Fourth Proportional to 884.43, 1,220.57 and 511.53

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Solution

The fourth proportional to 884.43, 1,220.57 and 511.53 is: 705.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.43 : 1,220.57 = 511.53 : x
  2. Step 2: Convert to fraction form
    884.43/1,220.57 = 511.53/x
  3. Step 3: Cross multiply
    884.43x = 1,220.57 × 511.53
  4. Step 4: Simplify right side
    884.43x = 624,352.96
  5. Step 5: Solve for x
    x = 624,352.96/884.43
  6. Step 6: Final answer
    x = 705.94

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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.