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Finding the Fourth Proportional to 1,450.19, 2,174.45 and 659.83

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Solution

The fourth proportional to 1,450.19, 2,174.45 and 659.83 is: 989.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.19 : 2,174.45 = 659.83 : x
  2. Step 2: Convert to fraction form
    1,450.19/2,174.45 = 659.83/x
  3. Step 3: Cross multiply
    1,450.19x = 2,174.45 × 659.83
  4. Step 4: Simplify right side
    1,450.19x = 1,434,767.34
  5. Step 5: Solve for x
    x = 1,434,767.34/1,450.19
  6. Step 6: Final answer
    x = 989.37

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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.