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Finding the Fourth Proportional to 886.92, 1,224.82 and 731.09

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Solution

The fourth proportional to 886.92, 1,224.82 and 731.09 is: 1,009.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.92 : 1,224.82 = 731.09 : x
  2. Step 2: Convert to fraction form
    886.92/1,224.82 = 731.09/x
  3. Step 3: Cross multiply
    886.92x = 1,224.82 × 731.09
  4. Step 4: Simplify right side
    886.92x = 895,457.63
  5. Step 5: Solve for x
    x = 895,457.63/886.92
  6. Step 6: Final answer
    x = 1,009.63

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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.