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Finding the Fourth Proportional to 936.15, 1,290.96 and 582.12

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Solution

The fourth proportional to 936.15, 1,290.96 and 582.12 is: 802.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.15 : 1,290.96 = 582.12 : x
  2. Step 2: Convert to fraction form
    936.15/1,290.96 = 582.12/x
  3. Step 3: Cross multiply
    936.15x = 1,290.96 × 582.12
  4. Step 4: Simplify right side
    936.15x = 751,493.64
  5. Step 5: Solve for x
    x = 751,493.64/936.15
  6. Step 6: Final answer
    x = 802.75

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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.