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Finding the Fourth Proportional to 1,110.82, 1,532.97 and 613.48

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Solution

The fourth proportional to 1,110.82, 1,532.97 and 613.48 is: 846.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.82 : 1,532.97 = 613.48 : x
  2. Step 2: Convert to fraction form
    1,110.82/1,532.97 = 613.48/x
  3. Step 3: Cross multiply
    1,110.82x = 1,532.97 × 613.48
  4. Step 4: Simplify right side
    1,110.82x = 940,446.44
  5. Step 5: Solve for x
    x = 940,446.44/1,110.82
  6. Step 6: Final answer
    x = 846.62

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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.