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Finding the Fourth Proportional to 1,391.81, 1,920.90 and 832.29

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Solution

The fourth proportional to 1,391.81, 1,920.90 and 832.29 is: 1,148.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.81 : 1,920.90 = 832.29 : x
  2. Step 2: Convert to fraction form
    1,391.81/1,920.90 = 832.29/x
  3. Step 3: Cross multiply
    1,391.81x = 1,920.90 × 832.29
  4. Step 4: Simplify right side
    1,391.81x = 1,598,745.86
  5. Step 5: Solve for x
    x = 1,598,745.86/1,391.81
  6. Step 6: Final answer
    x = 1,148.69

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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.