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Finding the Fourth Proportional to 803.10, 1,204.80 and 255.13

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Solution

The fourth proportional to 803.10, 1,204.80 and 255.13 is: 382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.10 : 1,204.80 = 255.13 : x
  2. Step 2: Convert to fraction form
    803.10/1,204.80 = 255.13/x
  3. Step 3: Cross multiply
    803.10x = 1,204.80 × 255.13
  4. Step 4: Simplify right side
    803.10x = 307,380.62
  5. Step 5: Solve for x
    x = 307,380.62/803.10
  6. Step 6: Final answer
    x = 382.74

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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.