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Finding the Fourth Proportional to 1,009.26, 1,392.83 and 636.46

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Solution

The fourth proportional to 1,009.26, 1,392.83 and 636.46 is: 878.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.26 : 1,392.83 = 636.46 : x
  2. Step 2: Convert to fraction form
    1,009.26/1,392.83 = 636.46/x
  3. Step 3: Cross multiply
    1,009.26x = 1,392.83 × 636.46
  4. Step 4: Simplify right side
    1,009.26x = 886,476.30
  5. Step 5: Solve for x
    x = 886,476.30/1,009.26
  6. Step 6: Final answer
    x = 878.34

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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.