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Finding the Fourth Proportional to 803.30, 1,201.91 and 489.83

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Solution

The fourth proportional to 803.30, 1,201.91 and 489.83 is: 732.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.30 : 1,201.91 = 489.83 : x
  2. Step 2: Convert to fraction form
    803.30/1,201.91 = 489.83/x
  3. Step 3: Cross multiply
    803.30x = 1,201.91 × 489.83
  4. Step 4: Simplify right side
    803.30x = 588,723.12
  5. Step 5: Solve for x
    x = 588,723.12/803.30
  6. Step 6: Final answer
    x = 732.89

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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.