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Finding the Fourth Proportional to 902.69, 1,352.61 and 683.08

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Solution

The fourth proportional to 902.69, 1,352.61 and 683.08 is: 1,023.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.69 : 1,352.61 = 683.08 : x
  2. Step 2: Convert to fraction form
    902.69/1,352.61 = 683.08/x
  3. Step 3: Cross multiply
    902.69x = 1,352.61 × 683.08
  4. Step 4: Simplify right side
    902.69x = 923,937.46
  5. Step 5: Solve for x
    x = 923,937.46/902.69
  6. Step 6: Final answer
    x = 1,023.54

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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.