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Finding the Fourth Proportional to 1,107.65, 1,661.47 and 620.43

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Solution

The fourth proportional to 1,107.65, 1,661.47 and 620.43 is: 930.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.65 : 1,661.47 = 620.43 : x
  2. Step 2: Convert to fraction form
    1,107.65/1,661.47 = 620.43/x
  3. Step 3: Cross multiply
    1,107.65x = 1,661.47 × 620.43
  4. Step 4: Simplify right side
    1,107.65x = 1,030,825.83
  5. Step 5: Solve for x
    x = 1,030,825.83/1,107.65
  6. Step 6: Final answer
    x = 930.64

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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.