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Finding the Fourth Proportional to 834.24, 1,150.25 and 539.40

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Solution

The fourth proportional to 834.24, 1,150.25 and 539.40 is: 743.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.24 : 1,150.25 = 539.40 : x
  2. Step 2: Convert to fraction form
    834.24/1,150.25 = 539.40/x
  3. Step 3: Cross multiply
    834.24x = 1,150.25 × 539.40
  4. Step 4: Simplify right side
    834.24x = 620,442.15
  5. Step 5: Solve for x
    x = 620,442.15/834.24
  6. Step 6: Final answer
    x = 743.72

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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.