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Finding the Fourth Proportional to 997.83, 1,497.05 and 511.23

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Solution

The fourth proportional to 997.83, 1,497.05 and 511.23 is: 766.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.83 : 1,497.05 = 511.23 : x
  2. Step 2: Convert to fraction form
    997.83/1,497.05 = 511.23/x
  3. Step 3: Cross multiply
    997.83x = 1,497.05 × 511.23
  4. Step 4: Simplify right side
    997.83x = 765,326.83
  5. Step 5: Solve for x
    x = 765,326.83/997.83
  6. Step 6: Final answer
    x = 766.99

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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.