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Finding the Fourth Proportional to 886.80, 1,223.72 and 493.80

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Solution

The fourth proportional to 886.80, 1,223.72 and 493.80 is: 681.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.80 : 1,223.72 = 493.80 : x
  2. Step 2: Convert to fraction form
    886.80/1,223.72 = 493.80/x
  3. Step 3: Cross multiply
    886.80x = 1,223.72 × 493.80
  4. Step 4: Simplify right side
    886.80x = 604,272.94
  5. Step 5: Solve for x
    x = 604,272.94/886.80
  6. Step 6: Final answer
    x = 681.41

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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.