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Finding the Fourth Proportional to 884.91, 1,222.70 and 774.21

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Solution

The fourth proportional to 884.91, 1,222.70 and 774.21 is: 1,069.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.91 : 1,222.70 = 774.21 : x
  2. Step 2: Convert to fraction form
    884.91/1,222.70 = 774.21/x
  3. Step 3: Cross multiply
    884.91x = 1,222.70 × 774.21
  4. Step 4: Simplify right side
    884.91x = 946,622.70
  5. Step 5: Solve for x
    x = 946,622.70/884.91
  6. Step 6: Final answer
    x = 1,069.74

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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.