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Finding the Fourth Proportional to 997.89, 1,377.05 and 555.77

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Solution

The fourth proportional to 997.89, 1,377.05 and 555.77 is: 766.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.89 : 1,377.05 = 555.77 : x
  2. Step 2: Convert to fraction form
    997.89/1,377.05 = 555.77/x
  3. Step 3: Cross multiply
    997.89x = 1,377.05 × 555.77
  4. Step 4: Simplify right side
    997.89x = 765,321.03
  5. Step 5: Solve for x
    x = 765,321.03/997.89
  6. Step 6: Final answer
    x = 766.94

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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.