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Finding the Fourth Proportional to 892.85, 1,339.29 and 243.59

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Solution

The fourth proportional to 892.85, 1,339.29 and 243.59 is: 365.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.85 : 1,339.29 = 243.59 : x
  2. Step 2: Convert to fraction form
    892.85/1,339.29 = 243.59/x
  3. Step 3: Cross multiply
    892.85x = 1,339.29 × 243.59
  4. Step 4: Simplify right side
    892.85x = 326,230.95
  5. Step 5: Solve for x
    x = 326,230.95/892.85
  6. Step 6: Final answer
    x = 365.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.