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Finding the Fourth Proportional to 645.97, 968.96 and 454.45

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Solution

The fourth proportional to 645.97, 968.96 and 454.45 is: 681.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.97 : 968.96 = 454.45 : x
  2. Step 2: Convert to fraction form
    645.97/968.96 = 454.45/x
  3. Step 3: Cross multiply
    645.97x = 968.96 × 454.45
  4. Step 4: Simplify right side
    645.97x = 440,343.87
  5. Step 5: Solve for x
    x = 440,343.87/645.97
  6. Step 6: Final answer
    x = 681.68

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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.