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Finding the Fourth Proportional to 893.07, 1,232.29 and 561.26

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Solution

The fourth proportional to 893.07, 1,232.29 and 561.26 is: 774.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.07 : 1,232.29 = 561.26 : x
  2. Step 2: Convert to fraction form
    893.07/1,232.29 = 561.26/x
  3. Step 3: Cross multiply
    893.07x = 1,232.29 × 561.26
  4. Step 4: Simplify right side
    893.07x = 691,629.20
  5. Step 5: Solve for x
    x = 691,629.20/893.07
  6. Step 6: Final answer
    x = 774.44

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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.