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Finding the Fourth Proportional to 936.46, 1,292.36 and 582.59

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Solution

The fourth proportional to 936.46, 1,292.36 and 582.59 is: 804.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.46 : 1,292.36 = 582.59 : x
  2. Step 2: Convert to fraction form
    936.46/1,292.36 = 582.59/x
  3. Step 3: Cross multiply
    936.46x = 1,292.36 × 582.59
  4. Step 4: Simplify right side
    936.46x = 752,916.33
  5. Step 5: Solve for x
    x = 752,916.33/936.46
  6. Step 6: Final answer
    x = 804.00

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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.