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Finding the Fourth Proportional to 893.40, 1,339.86 and 243.96

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Solution

The fourth proportional to 893.40, 1,339.86 and 243.96 is: 365.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.40 : 1,339.86 = 243.96 : x
  2. Step 2: Convert to fraction form
    893.40/1,339.86 = 243.96/x
  3. Step 3: Cross multiply
    893.40x = 1,339.86 × 243.96
  4. Step 4: Simplify right side
    893.40x = 326,872.25
  5. Step 5: Solve for x
    x = 326,872.25/893.40
  6. Step 6: Final answer
    x = 365.87

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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.