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Finding the Fourth Proportional to 1,450.12, 2,174.46 and 718.36

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Solution

The fourth proportional to 1,450.12, 2,174.46 and 718.36 is: 1,077.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.12 : 2,174.46 = 718.36 : x
  2. Step 2: Convert to fraction form
    1,450.12/2,174.46 = 718.36/x
  3. Step 3: Cross multiply
    1,450.12x = 2,174.46 × 718.36
  4. Step 4: Simplify right side
    1,450.12x = 1,562,045.09
  5. Step 5: Solve for x
    x = 1,562,045.09/1,450.12
  6. Step 6: Final answer
    x = 1,077.18

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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.