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Finding the Fourth Proportional to 968.02, 1,451.49 and 455.02

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Solution

The fourth proportional to 968.02, 1,451.49 and 455.02 is: 682.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.02 : 1,451.49 = 455.02 : x
  2. Step 2: Convert to fraction form
    968.02/1,451.49 = 455.02/x
  3. Step 3: Cross multiply
    968.02x = 1,451.49 × 455.02
  4. Step 4: Simplify right side
    968.02x = 660,456.98
  5. Step 5: Solve for x
    x = 660,456.98/968.02
  6. Step 6: Final answer
    x = 682.28

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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.