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Finding the Fourth Proportional to 886.18, 1,222.86 and 493.24

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Solution

The fourth proportional to 886.18, 1,222.86 and 493.24 is: 680.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.18 : 1,222.86 = 493.24 : x
  2. Step 2: Convert to fraction form
    886.18/1,222.86 = 493.24/x
  3. Step 3: Cross multiply
    886.18x = 1,222.86 × 493.24
  4. Step 4: Simplify right side
    886.18x = 603,164.67
  5. Step 5: Solve for x
    x = 603,164.67/886.18
  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.