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Finding the Fourth Proportional to 803.89, 1,202.73 and 490.42

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Solution

The fourth proportional to 803.89, 1,202.73 and 490.42 is: 733.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.89 : 1,202.73 = 490.42 : x
  2. Step 2: Convert to fraction form
    803.89/1,202.73 = 490.42/x
  3. Step 3: Cross multiply
    803.89x = 1,202.73 × 490.42
  4. Step 4: Simplify right side
    803.89x = 589,842.85
  5. Step 5: Solve for x
    x = 589,842.85/803.89
  6. Step 6: Final answer
    x = 733.74

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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.