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Finding the Fourth Proportional to 886.09, 1,224.37 and 638.23

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Solution

The fourth proportional to 886.09, 1,224.37 and 638.23 is: 881.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.09 : 1,224.37 = 638.23 : x
  2. Step 2: Convert to fraction form
    886.09/1,224.37 = 638.23/x
  3. Step 3: Cross multiply
    886.09x = 1,224.37 × 638.23
  4. Step 4: Simplify right side
    886.09x = 781,429.67
  5. Step 5: Solve for x
    x = 781,429.67/886.09
  6. Step 6: Final answer
    x = 881.89

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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.