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Finding the Fourth Proportional to 969.16, 1,453.44 and 319.75

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Solution

The fourth proportional to 969.16, 1,453.44 and 319.75 is: 479.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.16 : 1,453.44 = 319.75 : x
  2. Step 2: Convert to fraction form
    969.16/1,453.44 = 319.75/x
  3. Step 3: Cross multiply
    969.16x = 1,453.44 × 319.75
  4. Step 4: Simplify right side
    969.16x = 464,737.44
  5. Step 5: Solve for x
    x = 464,737.44/969.16
  6. Step 6: Final answer
    x = 479.53

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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.