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Finding the Fourth Proportional to 968.41, 1,336.67 and 575.47

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Solution

The fourth proportional to 968.41, 1,336.67 and 575.47 is: 794.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.41 : 1,336.67 = 575.47 : x
  2. Step 2: Convert to fraction form
    968.41/1,336.67 = 575.47/x
  3. Step 3: Cross multiply
    968.41x = 1,336.67 × 575.47
  4. Step 4: Simplify right side
    968.41x = 769,213.48
  5. Step 5: Solve for x
    x = 769,213.48/968.41
  6. Step 6: Final answer
    x = 794.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.