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Finding the Fourth Proportional to 886.20, 1,222.95 and 493.21

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Solution

The fourth proportional to 886.20, 1,222.95 and 493.21 is: 680.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.20 : 1,222.95 = 493.21 : x
  2. Step 2: Convert to fraction form
    886.20/1,222.95 = 493.21/x
  3. Step 3: Cross multiply
    886.20x = 1,222.95 × 493.21
  4. Step 4: Simplify right side
    886.20x = 603,171.17
  5. Step 5: Solve for x
    x = 603,171.17/886.20
  6. Step 6: Final answer
    x = 680.63

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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.