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Finding the Fourth Proportional to 842.31, 1,162.49 and 493

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Solution

The fourth proportional to 842.31, 1,162.49 and 493 is: 680.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.31 : 1,162.49 = 493 : x
  2. Step 2: Convert to fraction form
    842.31/1,162.49 = 493/x
  3. Step 3: Cross multiply
    842.31x = 1,162.49 × 493
  4. Step 4: Simplify right side
    842.31x = 573,108.80
  5. Step 5: Solve for x
    x = 573,108.80/842.31
  6. Step 6: Final answer
    x = 680.40

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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.