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Finding the Fourth Proportional to 886.70, 1,223.76 and 638.84

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Solution

The fourth proportional to 886.70, 1,223.76 and 638.84 is: 881.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.70 : 1,223.76 = 638.84 : x
  2. Step 2: Convert to fraction form
    886.70/1,223.76 = 638.84/x
  3. Step 3: Cross multiply
    886.70x = 1,223.76 × 638.84
  4. Step 4: Simplify right side
    886.70x = 781,786.84
  5. Step 5: Solve for x
    x = 781,786.84/886.70
  6. Step 6: Final answer
    x = 881.68

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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.