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Finding the Fourth Proportional to 892.68, 1,339.02 and 243.42

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Solution

The fourth proportional to 892.68, 1,339.02 and 243.42 is: 365.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.68 : 1,339.02 = 243.42 : x
  2. Step 2: Convert to fraction form
    892.68/1,339.02 = 243.42/x
  3. Step 3: Cross multiply
    892.68x = 1,339.02 × 243.42
  4. Step 4: Simplify right side
    892.68x = 325,944.25
  5. Step 5: Solve for x
    x = 325,944.25/892.68
  6. Step 6: Final answer
    x = 365.13

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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.