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Finding the Fourth Proportional to 796.80, 1,099.20 and 460.68

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Solution

The fourth proportional to 796.80, 1,099.20 and 460.68 is: 635.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.80 : 1,099.20 = 460.68 : x
  2. Step 2: Convert to fraction form
    796.80/1,099.20 = 460.68/x
  3. Step 3: Cross multiply
    796.80x = 1,099.20 × 460.68
  4. Step 4: Simplify right side
    796.80x = 506,379.46
  5. Step 5: Solve for x
    x = 506,379.46/796.80
  6. Step 6: Final answer
    x = 635.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.