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Finding the Fourth Proportional to 842.72, 1,162.64 and 493.28

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Solution

The fourth proportional to 842.72, 1,162.64 and 493.28 is: 680.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.72 : 1,162.64 = 493.28 : x
  2. Step 2: Convert to fraction form
    842.72/1,162.64 = 493.28/x
  3. Step 3: Cross multiply
    842.72x = 1,162.64 × 493.28
  4. Step 4: Simplify right side
    842.72x = 573,507.06
  5. Step 5: Solve for x
    x = 573,507.06/842.72
  6. Step 6: Final answer
    x = 680.54

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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.