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Finding the Fourth Proportional to 845.11, 1,268.07 and 585.33

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Solution

The fourth proportional to 845.11, 1,268.07 and 585.33 is: 878.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.11 : 1,268.07 = 585.33 : x
  2. Step 2: Convert to fraction form
    845.11/1,268.07 = 585.33/x
  3. Step 3: Cross multiply
    845.11x = 1,268.07 × 585.33
  4. Step 4: Simplify right side
    845.11x = 742,239.41
  5. Step 5: Solve for x
    x = 742,239.41/845.11
  6. Step 6: Final answer
    x = 878.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.