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Finding the Fourth Proportional to 936.78, 1,292.00 and 826.35

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Solution

The fourth proportional to 936.78, 1,292.00 and 826.35 is: 1,139.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.78 : 1,292.00 = 826.35 : x
  2. Step 2: Convert to fraction form
    936.78/1,292.00 = 826.35/x
  3. Step 3: Cross multiply
    936.78x = 1,292.00 × 826.35
  4. Step 4: Simplify right side
    936.78x = 1,067,640.07
  5. Step 5: Solve for x
    x = 1,067,640.07/936.78
  6. Step 6: Final answer
    x = 1,139.69

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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.