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Finding the Fourth Proportional to 834.83, 1,251.55 and 464.64

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Solution

The fourth proportional to 834.83, 1,251.55 and 464.64 is: 696.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.83 : 1,251.55 = 464.64 : x
  2. Step 2: Convert to fraction form
    834.83/1,251.55 = 464.64/x
  3. Step 3: Cross multiply
    834.83x = 1,251.55 × 464.64
  4. Step 4: Simplify right side
    834.83x = 581,520.19
  5. Step 5: Solve for x
    x = 581,520.19/834.83
  6. Step 6: Final answer
    x = 696.57

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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.