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Finding the Fourth Proportional to 936.37, 1,292.75 and 832.59

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Solution

The fourth proportional to 936.37, 1,292.75 and 832.59 is: 1,149.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.37 : 1,292.75 = 832.59 : x
  2. Step 2: Convert to fraction form
    936.37/1,292.75 = 832.59/x
  3. Step 3: Cross multiply
    936.37x = 1,292.75 × 832.59
  4. Step 4: Simplify right side
    936.37x = 1,076,330.72
  5. Step 5: Solve for x
    x = 1,076,330.72/936.37
  6. Step 6: Final answer
    x = 1,149.47

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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.