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Finding the Fourth Proportional to 997.98, 1,377.24 and 555.90

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Solution

The fourth proportional to 997.98, 1,377.24 and 555.90 is: 767.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.98 : 1,377.24 = 555.90 : x
  2. Step 2: Convert to fraction form
    997.98/1,377.24 = 555.90/x
  3. Step 3: Cross multiply
    997.98x = 1,377.24 × 555.90
  4. Step 4: Simplify right side
    997.98x = 765,607.72
  5. Step 5: Solve for x
    x = 765,607.72/997.98
  6. Step 6: Final answer
    x = 767.16

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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.