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Finding the Fourth Proportional to 1,450.10, 2,174.96 and 573.26

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Solution

The fourth proportional to 1,450.10, 2,174.96 and 573.26 is: 859.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.10 : 2,174.96 = 573.26 : x
  2. Step 2: Convert to fraction form
    1,450.10/2,174.96 = 573.26/x
  3. Step 3: Cross multiply
    1,450.10x = 2,174.96 × 573.26
  4. Step 4: Simplify right side
    1,450.10x = 1,246,808.13
  5. Step 5: Solve for x
    x = 1,246,808.13/1,450.10
  6. Step 6: Final answer
    x = 859.81

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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.