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Finding the Fourth Proportional to 969.98, 1,452.89 and 902.54

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Solution

The fourth proportional to 969.98, 1,452.89 and 902.54 is: 1,351.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.98 : 1,452.89 = 902.54 : x
  2. Step 2: Convert to fraction form
    969.98/1,452.89 = 902.54/x
  3. Step 3: Cross multiply
    969.98x = 1,452.89 × 902.54
  4. Step 4: Simplify right side
    969.98x = 1,311,297.23
  5. Step 5: Solve for x
    x = 1,311,297.23/969.98
  6. Step 6: Final answer
    x = 1,351.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.