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Finding the Fourth Proportional to 828.27, 1,143.10 and 474.22

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Solution

The fourth proportional to 828.27, 1,143.10 and 474.22 is: 654.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.27 : 1,143.10 = 474.22 : x
  2. Step 2: Convert to fraction form
    828.27/1,143.10 = 474.22/x
  3. Step 3: Cross multiply
    828.27x = 1,143.10 × 474.22
  4. Step 4: Simplify right side
    828.27x = 542,080.88
  5. Step 5: Solve for x
    x = 542,080.88/828.27
  6. Step 6: Final answer
    x = 654.47

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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.