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Finding the Fourth Proportional to 842.50, 1,162.67 and 493.18

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Solution

The fourth proportional to 842.50, 1,162.67 and 493.18 is: 680.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.50 : 1,162.67 = 493.18 : x
  2. Step 2: Convert to fraction form
    842.50/1,162.67 = 493.18/x
  3. Step 3: Cross multiply
    842.50x = 1,162.67 × 493.18
  4. Step 4: Simplify right side
    842.50x = 573,405.59
  5. Step 5: Solve for x
    x = 573,405.59/842.50
  6. Step 6: Final answer
    x = 680.60

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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.