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Finding the Fourth Proportional to 1,391.63, 1,920.41 and 762.18

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Solution

The fourth proportional to 1,391.63, 1,920.41 and 762.18 is: 1,051.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.63 : 1,920.41 = 762.18 : x
  2. Step 2: Convert to fraction form
    1,391.63/1,920.41 = 762.18/x
  3. Step 3: Cross multiply
    1,391.63x = 1,920.41 × 762.18
  4. Step 4: Simplify right side
    1,391.63x = 1,463,698.04
  5. Step 5: Solve for x
    x = 1,463,698.04/1,391.63
  6. Step 6: Final answer
    x = 1,051.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.