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Finding the Fourth Proportional to 1,162.69, 1,744.21 and 614.73

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Solution

The fourth proportional to 1,162.69, 1,744.21 and 614.73 is: 922.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.69 : 1,744.21 = 614.73 : x
  2. Step 2: Convert to fraction form
    1,162.69/1,744.21 = 614.73/x
  3. Step 3: Cross multiply
    1,162.69x = 1,744.21 × 614.73
  4. Step 4: Simplify right side
    1,162.69x = 1,072,212.32
  5. Step 5: Solve for x
    x = 1,072,212.32/1,162.69
  6. Step 6: Final answer
    x = 922.18

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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.