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Finding the Fourth Proportional to 997.95, 1,377.17 and 555.85

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Solution

The fourth proportional to 997.95, 1,377.17 and 555.85 is: 767.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.95 : 1,377.17 = 555.85 : x
  2. Step 2: Convert to fraction form
    997.95/1,377.17 = 555.85/x
  3. Step 3: Cross multiply
    997.95x = 1,377.17 × 555.85
  4. Step 4: Simplify right side
    997.95x = 765,499.94
  5. Step 5: Solve for x
    x = 765,499.94/997.95
  6. Step 6: Final answer
    x = 767.07

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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.