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Finding the Fourth Proportional to 1,391.82, 1,920.77 and 762.32

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Solution

The fourth proportional to 1,391.82, 1,920.77 and 762.32 is: 1,052.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.82 : 1,920.77 = 762.32 : x
  2. Step 2: Convert to fraction form
    1,391.82/1,920.77 = 762.32/x
  3. Step 3: Cross multiply
    1,391.82x = 1,920.77 × 762.32
  4. Step 4: Simplify right side
    1,391.82x = 1,464,227.97
  5. Step 5: Solve for x
    x = 1,464,227.97/1,391.82
  6. Step 6: Final answer
    x = 1,052.02

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Why These Related Problems?

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