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Finding the Fourth Proportional to 656.14, 982.83 and 449.74

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Solution

The fourth proportional to 656.14, 982.83 and 449.74 is: 673.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.14 : 982.83 = 449.74 : x
  2. Step 2: Convert to fraction form
    656.14/982.83 = 449.74/x
  3. Step 3: Cross multiply
    656.14x = 982.83 × 449.74
  4. Step 4: Simplify right side
    656.14x = 442,017.96
  5. Step 5: Solve for x
    x = 442,017.96/656.14
  6. Step 6: Final answer
    x = 673.66

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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.