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Finding the Fourth Proportional to 969.75, 1,454.63 and 285.75

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Solution

The fourth proportional to 969.75, 1,454.63 and 285.75 is: 428.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.75 : 1,454.63 = 285.75 : x
  2. Step 2: Convert to fraction form
    969.75/1,454.63 = 285.75/x
  3. Step 3: Cross multiply
    969.75x = 1,454.63 × 285.75
  4. Step 4: Simplify right side
    969.75x = 415,659.09
  5. Step 5: Solve for x
    x = 415,659.09/969.75
  6. Step 6: Final answer
    x = 428.63

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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.