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Finding the Fourth Proportional to 997.83, 1,497.65 and 511.22

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Solution

The fourth proportional to 997.83, 1,497.65 and 511.22 is: 767.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.83 : 1,497.65 = 511.22 : x
  2. Step 2: Convert to fraction form
    997.83/1,497.65 = 511.22/x
  3. Step 3: Cross multiply
    997.83x = 1,497.65 × 511.22
  4. Step 4: Simplify right side
    997.83x = 765,628.63
  5. Step 5: Solve for x
    x = 765,628.63/997.83
  6. Step 6: Final answer
    x = 767.29

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