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Finding the Fourth Proportional to 886.42, 1,223.26 and 493.43

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Solution

The fourth proportional to 886.42, 1,223.26 and 493.43 is: 680.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.42 : 1,223.26 = 493.43 : x
  2. Step 2: Convert to fraction form
    886.42/1,223.26 = 493.43/x
  3. Step 3: Cross multiply
    886.42x = 1,223.26 × 493.43
  4. Step 4: Simplify right side
    886.42x = 603,595.01
  5. Step 5: Solve for x
    x = 603,595.01/886.42
  6. Step 6: Final answer
    x = 680.94

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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.