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Finding the Fourth Proportional to 842.25, 1,162.27 and 492.93

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Solution

The fourth proportional to 842.25, 1,162.27 and 492.93 is: 680.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.25 : 1,162.27 = 492.93 : x
  2. Step 2: Convert to fraction form
    842.25/1,162.27 = 492.93/x
  3. Step 3: Cross multiply
    842.25x = 1,162.27 × 492.93
  4. Step 4: Simplify right side
    842.25x = 572,910.71
  5. Step 5: Solve for x
    x = 572,910.71/842.25
  6. Step 6: Final answer
    x = 680.22

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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.