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Finding the Fourth Proportional to 1,768.63, 2,654.27 and 659.07

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Solution

The fourth proportional to 1,768.63, 2,654.27 and 659.07 is: 989.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.63 : 2,654.27 = 659.07 : x
  2. Step 2: Convert to fraction form
    1,768.63/2,654.27 = 659.07/x
  3. Step 3: Cross multiply
    1,768.63x = 2,654.27 × 659.07
  4. Step 4: Simplify right side
    1,768.63x = 1,749,349.73
  5. Step 5: Solve for x
    x = 1,749,349.73/1,768.63
  6. Step 6: Final answer
    x = 989.10

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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.