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Finding the Fourth Proportional to 1,391.93, 1,920.81 and 832.71

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Solution

The fourth proportional to 1,391.93, 1,920.81 and 832.71 is: 1,149.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.93 : 1,920.81 = 832.71 : x
  2. Step 2: Convert to fraction form
    1,391.93/1,920.81 = 832.71/x
  3. Step 3: Cross multiply
    1,391.93x = 1,920.81 × 832.71
  4. Step 4: Simplify right side
    1,391.93x = 1,599,482.86
  5. Step 5: Solve for x
    x = 1,599,482.86/1,391.93
  6. Step 6: Final answer
    x = 1,149.11

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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.