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Finding the Fourth Proportional to 842.27, 1,162.49 and 510.64

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Solution

The fourth proportional to 842.27, 1,162.49 and 510.64 is: 704.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.27 : 1,162.49 = 510.64 : x
  2. Step 2: Convert to fraction form
    842.27/1,162.49 = 510.64/x
  3. Step 3: Cross multiply
    842.27x = 1,162.49 × 510.64
  4. Step 4: Simplify right side
    842.27x = 593,608.43
  5. Step 5: Solve for x
    x = 593,608.43/842.27
  6. Step 6: Final answer
    x = 704.78

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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.