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Finding the Fourth Proportional to 886.45, 1,222.23 and 689.62

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Solution

The fourth proportional to 886.45, 1,222.23 and 689.62 is: 950.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.45 : 1,222.23 = 689.62 : x
  2. Step 2: Convert to fraction form
    886.45/1,222.23 = 689.62/x
  3. Step 3: Cross multiply
    886.45x = 1,222.23 × 689.62
  4. Step 4: Simplify right side
    886.45x = 842,874.25
  5. Step 5: Solve for x
    x = 842,874.25/886.45
  6. Step 6: Final answer
    x = 950.84

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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.