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Finding the Fourth Proportional to 828.54, 1,240.38 and 462.42

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Solution

The fourth proportional to 828.54, 1,240.38 and 462.42 is: 692.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.54 : 1,240.38 = 462.42 : x
  2. Step 2: Convert to fraction form
    828.54/1,240.38 = 462.42/x
  3. Step 3: Cross multiply
    828.54x = 1,240.38 × 462.42
  4. Step 4: Simplify right side
    828.54x = 573,576.52
  5. Step 5: Solve for x
    x = 573,576.52/828.54
  6. Step 6: Final answer
    x = 692.27

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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.