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Finding the Fourth Proportional to 797.48, 1,100.31 and 482.49

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Solution

The fourth proportional to 797.48, 1,100.31 and 482.49 is: 665.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.48 : 1,100.31 = 482.49 : x
  2. Step 2: Convert to fraction form
    797.48/1,100.31 = 482.49/x
  3. Step 3: Cross multiply
    797.48x = 1,100.31 × 482.49
  4. Step 4: Simplify right side
    797.48x = 530,888.57
  5. Step 5: Solve for x
    x = 530,888.57/797.48
  6. Step 6: Final answer
    x = 665.71

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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.