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Finding the Fourth Proportional to 997.84, 1,376.85 and 555.74

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Solution

The fourth proportional to 997.84, 1,376.85 and 555.74 is: 766.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.84 : 1,376.85 = 555.74 : x
  2. Step 2: Convert to fraction form
    997.84/1,376.85 = 555.74/x
  3. Step 3: Cross multiply
    997.84x = 1,376.85 × 555.74
  4. Step 4: Simplify right side
    997.84x = 765,170.62
  5. Step 5: Solve for x
    x = 765,170.62/997.84
  6. Step 6: Final answer
    x = 766.83

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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.