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Finding the Fourth Proportional to 892.14, 1,340.27 and 632.79

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Solution

The fourth proportional to 892.14, 1,340.27 and 632.79 is: 950.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.14 : 1,340.27 = 632.79 : x
  2. Step 2: Convert to fraction form
    892.14/1,340.27 = 632.79/x
  3. Step 3: Cross multiply
    892.14x = 1,340.27 × 632.79
  4. Step 4: Simplify right side
    892.14x = 848,099.59
  5. Step 5: Solve for x
    x = 848,099.59/892.14
  6. Step 6: Final answer
    x = 950.64

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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.