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Finding the Fourth Proportional to 823.02, 1,137.21 and 675.54

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Solution

The fourth proportional to 823.02, 1,137.21 and 675.54 is: 933.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.02 : 1,137.21 = 675.54 : x
  2. Step 2: Convert to fraction form
    823.02/1,137.21 = 675.54/x
  3. Step 3: Cross multiply
    823.02x = 1,137.21 × 675.54
  4. Step 4: Simplify right side
    823.02x = 768,230.84
  5. Step 5: Solve for x
    x = 768,230.84/823.02
  6. Step 6: Final answer
    x = 933.43

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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.