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Finding the Fourth Proportional to 968.86, 1,453.37 and 319.60

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Solution

The fourth proportional to 968.86, 1,453.37 and 319.60 is: 479.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.86 : 1,453.37 = 319.60 : x
  2. Step 2: Convert to fraction form
    968.86/1,453.37 = 319.60/x
  3. Step 3: Cross multiply
    968.86x = 1,453.37 × 319.60
  4. Step 4: Simplify right side
    968.86x = 464,497.05
  5. Step 5: Solve for x
    x = 464,497.05/968.86
  6. Step 6: Final answer
    x = 479.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.