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Finding the Fourth Proportional to 968.67, 1,454.25 and 506.78

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Solution

The fourth proportional to 968.67, 1,454.25 and 506.78 is: 760.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.67 : 1,454.25 = 506.78 : x
  2. Step 2: Convert to fraction form
    968.67/1,454.25 = 506.78/x
  3. Step 3: Cross multiply
    968.67x = 1,454.25 × 506.78
  4. Step 4: Simplify right side
    968.67x = 736,977.54
  5. Step 5: Solve for x
    x = 736,977.54/968.67
  6. Step 6: Final answer
    x = 760.81

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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.