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Finding the Fourth Proportional to 715.69, 1,072.61 and 622.75

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Solution

The fourth proportional to 715.69, 1,072.61 and 622.75 is: 933.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.69 : 1,072.61 = 622.75 : x
  2. Step 2: Convert to fraction form
    715.69/1,072.61 = 622.75/x
  3. Step 3: Cross multiply
    715.69x = 1,072.61 × 622.75
  4. Step 4: Simplify right side
    715.69x = 667,969.25
  5. Step 5: Solve for x
    x = 667,969.25/715.69
  6. Step 6: Final answer
    x = 933.33

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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.