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Finding the Fourth Proportional to 936.94, 1,290.64 and 727.35

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Solution

The fourth proportional to 936.94, 1,290.64 and 727.35 is: 1,001.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.94 : 1,290.64 = 727.35 : x
  2. Step 2: Convert to fraction form
    936.94/1,290.64 = 727.35/x
  3. Step 3: Cross multiply
    936.94x = 1,290.64 × 727.35
  4. Step 4: Simplify right side
    936.94x = 938,747.00
  5. Step 5: Solve for x
    x = 938,747.00/936.94
  6. Step 6: Final answer
    x = 1,001.93

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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.