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Finding the Fourth Proportional to 997.97, 1,377.26 and 555.92

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Solution

The fourth proportional to 997.97, 1,377.26 and 555.92 is: 767.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.97 : 1,377.26 = 555.92 : x
  2. Step 2: Convert to fraction form
    997.97/1,377.26 = 555.92/x
  3. Step 3: Cross multiply
    997.97x = 1,377.26 × 555.92
  4. Step 4: Simplify right side
    997.97x = 765,636.71
  5. Step 5: Solve for x
    x = 765,636.71/997.97
  6. Step 6: Final answer
    x = 767.20

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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.