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Finding the Fourth Proportional to 968.50, 1,453.39 and 455.54

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Solution

The fourth proportional to 968.50, 1,453.39 and 455.54 is: 683.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.50 : 1,453.39 = 455.54 : x
  2. Step 2: Convert to fraction form
    968.50/1,453.39 = 455.54/x
  3. Step 3: Cross multiply
    968.50x = 1,453.39 × 455.54
  4. Step 4: Simplify right side
    968.50x = 662,077.28
  5. Step 5: Solve for x
    x = 662,077.28/968.50
  6. Step 6: Final answer
    x = 683.61

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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.