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Finding the Fourth Proportional to 685.26, 1,030.62 and 622.38

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Solution

The fourth proportional to 685.26, 1,030.62 and 622.38 is: 936.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.26 : 1,030.62 = 622.38 : x
  2. Step 2: Convert to fraction form
    685.26/1,030.62 = 622.38/x
  3. Step 3: Cross multiply
    685.26x = 1,030.62 × 622.38
  4. Step 4: Simplify right side
    685.26x = 641,443.47
  5. Step 5: Solve for x
    x = 641,443.47/685.26
  6. Step 6: Final answer
    x = 936.06

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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.