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Finding the Fourth Proportional to 842, 1,162 and 474

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Solution

The fourth proportional to 842, 1,162 and 474 is: 654.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    842 : 1,162 = 474 : x
  2. Step 2: Convert to fraction form
    842/1,162 = 474/x
  3. Step 3: Cross multiply
    842x = 1,162 × 474
  4. Step 4: Simplify right side
    842x = 550,788
  5. Step 5: Solve for x
    x = 550,788/842
  6. Step 6: Final answer
    x = 654.14

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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.