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Finding the Fourth Proportional to 969.14, 1,450.11 and 579.35

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Solution

The fourth proportional to 969.14, 1,450.11 and 579.35 is: 866.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.14 : 1,450.11 = 579.35 : x
  2. Step 2: Convert to fraction form
    969.14/1,450.11 = 579.35/x
  3. Step 3: Cross multiply
    969.14x = 1,450.11 × 579.35
  4. Step 4: Simplify right side
    969.14x = 840,121.23
  5. Step 5: Solve for x
    x = 840,121.23/969.14
  6. Step 6: Final answer
    x = 866.87

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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.