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Finding the Fourth Proportional to 969.82, 1,453.78 and 320.12

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Solution

The fourth proportional to 969.82, 1,453.78 and 320.12 is: 479.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.82 : 1,453.78 = 320.12 : x
  2. Step 2: Convert to fraction form
    969.82/1,453.78 = 320.12/x
  3. Step 3: Cross multiply
    969.82x = 1,453.78 × 320.12
  4. Step 4: Simplify right side
    969.82x = 465,384.05
  5. Step 5: Solve for x
    x = 465,384.05/969.82
  6. Step 6: Final answer
    x = 479.87

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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.