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Finding the Fourth Proportional to 936.21, 1,291.80 and 582.23

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Solution

The fourth proportional to 936.21, 1,291.80 and 582.23 is: 803.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.21 : 1,291.80 = 582.23 : x
  2. Step 2: Convert to fraction form
    936.21/1,291.80 = 582.23/x
  3. Step 3: Cross multiply
    936.21x = 1,291.80 × 582.23
  4. Step 4: Simplify right side
    936.21x = 752,118.26
  5. Step 5: Solve for x
    x = 752,118.26/936.21
  6. Step 6: Final answer
    x = 803.36

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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.