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Finding the Fourth Proportional to 968.09, 1,452.51 and 412.92

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Solution

The fourth proportional to 968.09, 1,452.51 and 412.92 is: 619.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.09 : 1,452.51 = 412.92 : x
  2. Step 2: Convert to fraction form
    968.09/1,452.51 = 412.92/x
  3. Step 3: Cross multiply
    968.09x = 1,452.51 × 412.92
  4. Step 4: Simplify right side
    968.09x = 599,770.43
  5. Step 5: Solve for x
    x = 599,770.43/968.09
  6. Step 6: Final answer
    x = 619.54

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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.