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Finding the Fourth Proportional to 997.71, 1,496.86 and 511.10

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Solution

The fourth proportional to 997.71, 1,496.86 and 511.10 is: 766.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.71 : 1,496.86 = 511.10 : x
  2. Step 2: Convert to fraction form
    997.71/1,496.86 = 511.10/x
  3. Step 3: Cross multiply
    997.71x = 1,496.86 × 511.10
  4. Step 4: Simplify right side
    997.71x = 765,043.87
  5. Step 5: Solve for x
    x = 765,043.87/997.71
  6. Step 6: Final answer
    x = 766.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.