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Finding the Fourth Proportional to 969.26, 1,452.35 and 677.34

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Solution

The fourth proportional to 969.26, 1,452.35 and 677.34 is: 1,014.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.26 : 1,452.35 = 677.34 : x
  2. Step 2: Convert to fraction form
    969.26/1,452.35 = 677.34/x
  3. Step 3: Cross multiply
    969.26x = 1,452.35 × 677.34
  4. Step 4: Simplify right side
    969.26x = 983,736.44
  5. Step 5: Solve for x
    x = 983,736.44/969.26
  6. Step 6: Final answer
    x = 1,014.94

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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.