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Finding the Fourth Proportional to 800.94, 1,201.38 and 253.18

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Solution

The fourth proportional to 800.94, 1,201.38 and 253.18 is: 379.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.94 : 1,201.38 = 253.18 : x
  2. Step 2: Convert to fraction form
    800.94/1,201.38 = 253.18/x
  3. Step 3: Cross multiply
    800.94x = 1,201.38 × 253.18
  4. Step 4: Simplify right side
    800.94x = 304,165.39
  5. Step 5: Solve for x
    x = 304,165.39/800.94
  6. Step 6: Final answer
    x = 379.76

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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.