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Finding the Fourth Proportional to 968.89, 1,453.44 and 310.61

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Solution

The fourth proportional to 968.89, 1,453.44 and 310.61 is: 465.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.89 : 1,453.44 = 310.61 : x
  2. Step 2: Convert to fraction form
    968.89/1,453.44 = 310.61/x
  3. Step 3: Cross multiply
    968.89x = 1,453.44 × 310.61
  4. Step 4: Simplify right side
    968.89x = 451,444.57
  5. Step 5: Solve for x
    x = 451,444.57/968.89
  6. Step 6: Final answer
    x = 465.94

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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.