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Finding the Fourth Proportional to 834.68, 1,152 and 539.96

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Solution

The fourth proportional to 834.68, 1,152 and 539.96 is: 745.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.68 : 1,152 = 539.96 : x
  2. Step 2: Convert to fraction form
    834.68/1,152 = 539.96/x
  3. Step 3: Cross multiply
    834.68x = 1,152 × 539.96
  4. Step 4: Simplify right side
    834.68x = 622,033.92
  5. Step 5: Solve for x
    x = 622,033.92/834.68
  6. Step 6: Final answer
    x = 745.24

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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.