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Finding the Fourth Proportional to 997.76, 1,377.22 and 811.10

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Solution

The fourth proportional to 997.76, 1,377.22 and 811.10 is: 1,119.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.76 : 1,377.22 = 811.10 : x
  2. Step 2: Convert to fraction form
    997.76/1,377.22 = 811.10/x
  3. Step 3: Cross multiply
    997.76x = 1,377.22 × 811.10
  4. Step 4: Simplify right side
    997.76x = 1,117,063.14
  5. Step 5: Solve for x
    x = 1,117,063.14/997.76
  6. Step 6: Final answer
    x = 1,119.57

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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.