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Finding the Fourth Proportional to 828.44, 1,143.15 and 474.44

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Solution

The fourth proportional to 828.44, 1,143.15 and 474.44 is: 654.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.44 : 1,143.15 = 474.44 : x
  2. Step 2: Convert to fraction form
    828.44/1,143.15 = 474.44/x
  3. Step 3: Cross multiply
    828.44x = 1,143.15 × 474.44
  4. Step 4: Simplify right side
    828.44x = 542,348.59
  5. Step 5: Solve for x
    x = 542,348.59/828.44
  6. Step 6: Final answer
    x = 654.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.