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Finding the Fourth Proportional to 842.27, 1,162.35 and 492.96

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Solution

The fourth proportional to 842.27, 1,162.35 and 492.96 is: 680.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.27 : 1,162.35 = 492.96 : x
  2. Step 2: Convert to fraction form
    842.27/1,162.35 = 492.96/x
  3. Step 3: Cross multiply
    842.27x = 1,162.35 × 492.96
  4. Step 4: Simplify right side
    842.27x = 572,993.15
  5. Step 5: Solve for x
    x = 572,993.15/842.27
  6. Step 6: Final answer
    x = 680.29

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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.