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Finding the Fourth Proportional to 834.53, 1,252.56 and 444.86

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Solution

The fourth proportional to 834.53, 1,252.56 and 444.86 is: 667.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.53 : 1,252.56 = 444.86 : x
  2. Step 2: Convert to fraction form
    834.53/1,252.56 = 444.86/x
  3. Step 3: Cross multiply
    834.53x = 1,252.56 × 444.86
  4. Step 4: Simplify right side
    834.53x = 557,211.62
  5. Step 5: Solve for x
    x = 557,211.62/834.53
  6. Step 6: Final answer
    x = 667.69

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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.