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Finding the Fourth Proportional to 893.27, 1,232.48 and 578.63

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Solution

The fourth proportional to 893.27, 1,232.48 and 578.63 is: 798.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.27 : 1,232.48 = 578.63 : x
  2. Step 2: Convert to fraction form
    893.27/1,232.48 = 578.63/x
  3. Step 3: Cross multiply
    893.27x = 1,232.48 × 578.63
  4. Step 4: Simplify right side
    893.27x = 713,147.01
  5. Step 5: Solve for x
    x = 713,147.01/893.27
  6. Step 6: Final answer
    x = 798.36

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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.