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Finding the Fourth Proportional to 892.76, 1,338.44 and 453.65

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Solution

The fourth proportional to 892.76, 1,338.44 and 453.65 is: 680.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.76 : 1,338.44 = 453.65 : x
  2. Step 2: Convert to fraction form
    892.76/1,338.44 = 453.65/x
  3. Step 3: Cross multiply
    892.76x = 1,338.44 × 453.65
  4. Step 4: Simplify right side
    892.76x = 607,174.35
  5. Step 5: Solve for x
    x = 607,174.35/892.76
  6. Step 6: Final answer
    x = 680.11

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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.