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Finding the Fourth Proportional to 805.92, 1,112.07 and 474.27

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Solution

The fourth proportional to 805.92, 1,112.07 and 474.27 is: 654.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.92 : 1,112.07 = 474.27 : x
  2. Step 2: Convert to fraction form
    805.92/1,112.07 = 474.27/x
  3. Step 3: Cross multiply
    805.92x = 1,112.07 × 474.27
  4. Step 4: Simplify right side
    805.92x = 527,421.44
  5. Step 5: Solve for x
    x = 527,421.44/805.92
  6. Step 6: Final answer
    x = 654.43

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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.