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Finding the Fourth Proportional to 842.45, 1,162.71 and 493.16

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Solution

The fourth proportional to 842.45, 1,162.71 and 493.16 is: 680.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.45 : 1,162.71 = 493.16 : x
  2. Step 2: Convert to fraction form
    842.45/1,162.71 = 493.16/x
  3. Step 3: Cross multiply
    842.45x = 1,162.71 × 493.16
  4. Step 4: Simplify right side
    842.45x = 573,396.25
  5. Step 5: Solve for x
    x = 573,396.25/842.45
  6. Step 6: Final answer
    x = 680.63

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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.