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Finding the Fourth Proportional to 997.49, 1,376.72 and 577.78

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Solution

The fourth proportional to 997.49, 1,376.72 and 577.78 is: 797.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.49 : 1,376.72 = 577.78 : x
  2. Step 2: Convert to fraction form
    997.49/1,376.72 = 577.78/x
  3. Step 3: Cross multiply
    997.49x = 1,376.72 × 577.78
  4. Step 4: Simplify right side
    997.49x = 795,438.39
  5. Step 5: Solve for x
    x = 795,438.39/997.49
  6. Step 6: Final answer
    x = 797.44

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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.