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Finding the Fourth Proportional to 824.21, 1,236.35 and 461.31

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Solution

The fourth proportional to 824.21, 1,236.35 and 461.31 is: 691.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.21 : 1,236.35 = 461.31 : x
  2. Step 2: Convert to fraction form
    824.21/1,236.35 = 461.31/x
  3. Step 3: Cross multiply
    824.21x = 1,236.35 × 461.31
  4. Step 4: Simplify right side
    824.21x = 570,340.62
  5. Step 5: Solve for x
    x = 570,340.62/824.21
  6. Step 6: Final answer
    x = 691.98

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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.