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Finding the Fourth Proportional to 968.92, 1,453.19 and 475.11

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Solution

The fourth proportional to 968.92, 1,453.19 and 475.11 is: 712.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.92 : 1,453.19 = 475.11 : x
  2. Step 2: Convert to fraction form
    968.92/1,453.19 = 475.11/x
  3. Step 3: Cross multiply
    968.92x = 1,453.19 × 475.11
  4. Step 4: Simplify right side
    968.92x = 690,426.81
  5. Step 5: Solve for x
    x = 690,426.81/968.92
  6. Step 6: Final answer
    x = 712.58

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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.