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Finding the Fourth Proportional to 762.97, 1,144.77 and 367.45

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Solution

The fourth proportional to 762.97, 1,144.77 and 367.45 is: 551.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.97 : 1,144.77 = 367.45 : x
  2. Step 2: Convert to fraction form
    762.97/1,144.77 = 367.45/x
  3. Step 3: Cross multiply
    762.97x = 1,144.77 × 367.45
  4. Step 4: Simplify right side
    762.97x = 420,645.74
  5. Step 5: Solve for x
    x = 420,645.74/762.97
  6. Step 6: Final answer
    x = 551.33

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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.