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Finding the Fourth Proportional to 835.92, 1,252.08 and 546.84

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Solution

The fourth proportional to 835.92, 1,252.08 and 546.84 is: 819.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.92 : 1,252.08 = 546.84 : x
  2. Step 2: Convert to fraction form
    835.92/1,252.08 = 546.84/x
  3. Step 3: Cross multiply
    835.92x = 1,252.08 × 546.84
  4. Step 4: Simplify right side
    835.92x = 684,687.43
  5. Step 5: Solve for x
    x = 684,687.43/835.92
  6. Step 6: Final answer
    x = 819.08

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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.