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Finding the Fourth Proportional to 997.97, 1,497.03 and 511.36

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Solution

The fourth proportional to 997.97, 1,497.03 and 511.36 is: 767.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.97 : 1,497.03 = 511.36 : x
  2. Step 2: Convert to fraction form
    997.97/1,497.03 = 511.36/x
  3. Step 3: Cross multiply
    997.97x = 1,497.03 × 511.36
  4. Step 4: Simplify right side
    997.97x = 765,526.90
  5. Step 5: Solve for x
    x = 765,526.90/997.97
  6. Step 6: Final answer
    x = 767.08

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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.