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Finding the Fourth Proportional to 684.44, 1,021.59 and 636.28

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Solution

The fourth proportional to 684.44, 1,021.59 and 636.28 is: 949.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.44 : 1,021.59 = 636.28 : x
  2. Step 2: Convert to fraction form
    684.44/1,021.59 = 636.28/x
  3. Step 3: Cross multiply
    684.44x = 1,021.59 × 636.28
  4. Step 4: Simplify right side
    684.44x = 650,017.29
  5. Step 5: Solve for x
    x = 650,017.29/684.44
  6. Step 6: Final answer
    x = 949.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.