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Finding the Fourth Proportional to 796.04, 1,098.53 and 446.73

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Solution

The fourth proportional to 796.04, 1,098.53 and 446.73 is: 616.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.04 : 1,098.53 = 446.73 : x
  2. Step 2: Convert to fraction form
    796.04/1,098.53 = 446.73/x
  3. Step 3: Cross multiply
    796.04x = 1,098.53 × 446.73
  4. Step 4: Simplify right side
    796.04x = 490,744.07
  5. Step 5: Solve for x
    x = 490,744.07/796.04
  6. Step 6: Final answer
    x = 616.49

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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.