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Finding the Fourth Proportional to 820.34, 1,222.21 and 779.03

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Solution

The fourth proportional to 820.34, 1,222.21 and 779.03 is: 1,160.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.34 : 1,222.21 = 779.03 : x
  2. Step 2: Convert to fraction form
    820.34/1,222.21 = 779.03/x
  3. Step 3: Cross multiply
    820.34x = 1,222.21 × 779.03
  4. Step 4: Simplify right side
    820.34x = 952,138.26
  5. Step 5: Solve for x
    x = 952,138.26/820.34
  6. Step 6: Final answer
    x = 1,160.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.