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Finding the Fourth Proportional to 936.75, 1,292.43 and 582.48

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Solution

The fourth proportional to 936.75, 1,292.43 and 582.48 is: 803.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.75 : 1,292.43 = 582.48 : x
  2. Step 2: Convert to fraction form
    936.75/1,292.43 = 582.48/x
  3. Step 3: Cross multiply
    936.75x = 1,292.43 × 582.48
  4. Step 4: Simplify right side
    936.75x = 752,814.63
  5. Step 5: Solve for x
    x = 752,814.63/936.75
  6. Step 6: Final answer
    x = 803.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.