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Finding the Fourth Proportional to 1,450.94, 2,173.48 and 669.85

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Solution

The fourth proportional to 1,450.94, 2,173.48 and 669.85 is: 1,003.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.94 : 2,173.48 = 669.85 : x
  2. Step 2: Convert to fraction form
    1,450.94/2,173.48 = 669.85/x
  3. Step 3: Cross multiply
    1,450.94x = 2,173.48 × 669.85
  4. Step 4: Simplify right side
    1,450.94x = 1,455,898.47
  5. Step 5: Solve for x
    x = 1,455,898.47/1,450.94
  6. Step 6: Final answer
    x = 1,003.42

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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.