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Finding the Fourth Proportional to 796.32, 1,194.96 and 549.72

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Solution

The fourth proportional to 796.32, 1,194.96 and 549.72 is: 824.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.32 : 1,194.96 = 549.72 : x
  2. Step 2: Convert to fraction form
    796.32/1,194.96 = 549.72/x
  3. Step 3: Cross multiply
    796.32x = 1,194.96 × 549.72
  4. Step 4: Simplify right side
    796.32x = 656,893.41
  5. Step 5: Solve for x
    x = 656,893.41/796.32
  6. Step 6: Final answer
    x = 824.91

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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.