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Finding the Fourth Proportional to 969.60, 1,454.46 and 482.49

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Solution

The fourth proportional to 969.60, 1,454.46 and 482.49 is: 723.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.60 : 1,454.46 = 482.49 : x
  2. Step 2: Convert to fraction form
    969.60/1,454.46 = 482.49/x
  3. Step 3: Cross multiply
    969.60x = 1,454.46 × 482.49
  4. Step 4: Simplify right side
    969.60x = 701,760.60
  5. Step 5: Solve for x
    x = 701,760.60/969.60
  6. Step 6: Final answer
    x = 723.76

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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.