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Finding the Fourth Proportional to 834.23, 1,251.79 and 505.24

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Solution

The fourth proportional to 834.23, 1,251.79 and 505.24 is: 758.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.23 : 1,251.79 = 505.24 : x
  2. Step 2: Convert to fraction form
    834.23/1,251.79 = 505.24/x
  3. Step 3: Cross multiply
    834.23x = 1,251.79 × 505.24
  4. Step 4: Simplify right side
    834.23x = 632,449.99
  5. Step 5: Solve for x
    x = 632,449.99/834.23
  6. Step 6: Final answer
    x = 758.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.