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Finding the Fourth Proportional to 892.63, 1,339.21 and 315.50

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Solution

The fourth proportional to 892.63, 1,339.21 and 315.50 is: 473.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.63 : 1,339.21 = 315.50 : x
  2. Step 2: Convert to fraction form
    892.63/1,339.21 = 315.50/x
  3. Step 3: Cross multiply
    892.63x = 1,339.21 × 315.50
  4. Step 4: Simplify right side
    892.63x = 422,520.76
  5. Step 5: Solve for x
    x = 422,520.76/892.63
  6. Step 6: Final answer
    x = 473.35

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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.