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Finding the Fourth Proportional to 662.79, 995.09 and 456.85

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Solution

The fourth proportional to 662.79, 995.09 and 456.85 is: 685.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.79 : 995.09 = 456.85 : x
  2. Step 2: Convert to fraction form
    662.79/995.09 = 456.85/x
  3. Step 3: Cross multiply
    662.79x = 995.09 × 456.85
  4. Step 4: Simplify right side
    662.79x = 454,606.87
  5. Step 5: Solve for x
    x = 454,606.87/662.79
  6. Step 6: Final answer
    x = 685.90

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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.