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Finding the Fourth Proportional to 1,391.71, 1,920.73 and 832.17

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Solution

The fourth proportional to 1,391.71, 1,920.73 and 832.17 is: 1,148.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.71 : 1,920.73 = 832.17 : x
  2. Step 2: Convert to fraction form
    1,391.71/1,920.73 = 832.17/x
  3. Step 3: Cross multiply
    1,391.71x = 1,920.73 × 832.17
  4. Step 4: Simplify right side
    1,391.71x = 1,598,382.13
  5. Step 5: Solve for x
    x = 1,598,382.13/1,391.71
  6. Step 6: Final answer
    x = 1,148.50

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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.