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Finding the Fourth Proportional to 523.03, 789.46 and 523.03

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Solution

The fourth proportional to 523.03, 789.46 and 523.03 is: 789.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.03 : 789.46 = 523.03 : x
  2. Step 2: Convert to fraction form
    523.03/789.46 = 523.03/x
  3. Step 3: Cross multiply
    523.03x = 789.46 × 523.03
  4. Step 4: Simplify right side
    523.03x = 412,911.26
  5. Step 5: Solve for x
    x = 412,911.26/523.03
  6. Step 6: Final answer
    x = 789.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.