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Finding the Fourth Proportional to 798.73, 1,197.86 and 336.42

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Solution

The fourth proportional to 798.73, 1,197.86 and 336.42 is: 504.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.73 : 1,197.86 = 336.42 : x
  2. Step 2: Convert to fraction form
    798.73/1,197.86 = 336.42/x
  3. Step 3: Cross multiply
    798.73x = 1,197.86 × 336.42
  4. Step 4: Simplify right side
    798.73x = 402,984.90
  5. Step 5: Solve for x
    x = 402,984.90/798.73
  6. Step 6: Final answer
    x = 504.53

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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.