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Finding the Fourth Proportional to 892.56, 1,339.01 and 632.65

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Solution

The fourth proportional to 892.56, 1,339.01 and 632.65 is: 949.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.56 : 1,339.01 = 632.65 : x
  2. Step 2: Convert to fraction form
    892.56/1,339.01 = 632.65/x
  3. Step 3: Cross multiply
    892.56x = 1,339.01 × 632.65
  4. Step 4: Simplify right side
    892.56x = 847,124.68
  5. Step 5: Solve for x
    x = 847,124.68/892.56
  6. Step 6: Final answer
    x = 949.10

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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.