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Finding the Fourth Proportional to 834.09, 1,251.54 and 464.19

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Solution

The fourth proportional to 834.09, 1,251.54 and 464.19 is: 696.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.09 : 1,251.54 = 464.19 : x
  2. Step 2: Convert to fraction form
    834.09/1,251.54 = 464.19/x
  3. Step 3: Cross multiply
    834.09x = 1,251.54 × 464.19
  4. Step 4: Simplify right side
    834.09x = 580,952.35
  5. Step 5: Solve for x
    x = 580,952.35/834.09
  6. Step 6: Final answer
    x = 696.51

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Why These Related Problems?

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