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Finding the Fourth Proportional to 834.43, 1,151.95 and 539.86

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Solution

The fourth proportional to 834.43, 1,151.95 and 539.86 is: 745.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.43 : 1,151.95 = 539.86 : x
  2. Step 2: Convert to fraction form
    834.43/1,151.95 = 539.86/x
  3. Step 3: Cross multiply
    834.43x = 1,151.95 × 539.86
  4. Step 4: Simplify right side
    834.43x = 621,891.73
  5. Step 5: Solve for x
    x = 621,891.73/834.43
  6. Step 6: Final answer
    x = 745.29

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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.