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Finding the Fourth Proportional to 892.15, 1,336.27 and 648.13

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Solution

The fourth proportional to 892.15, 1,336.27 and 648.13 is: 970.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.15 : 1,336.27 = 648.13 : x
  2. Step 2: Convert to fraction form
    892.15/1,336.27 = 648.13/x
  3. Step 3: Cross multiply
    892.15x = 1,336.27 × 648.13
  4. Step 4: Simplify right side
    892.15x = 866,076.68
  5. Step 5: Solve for x
    x = 866,076.68/892.15
  6. Step 6: Final answer
    x = 970.77

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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.