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Finding the Fourth Proportional to 842.38, 1,162.48 and 493.13

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Solution

The fourth proportional to 842.38, 1,162.48 and 493.13 is: 680.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.38 : 1,162.48 = 493.13 : x
  2. Step 2: Convert to fraction form
    842.38/1,162.48 = 493.13/x
  3. Step 3: Cross multiply
    842.38x = 1,162.48 × 493.13
  4. Step 4: Simplify right side
    842.38x = 573,253.76
  5. Step 5: Solve for x
    x = 573,253.76/842.38
  6. Step 6: Final answer
    x = 680.52

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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.