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Finding the Fourth Proportional to 655.25, 984.31 and 511.25

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Solution

The fourth proportional to 655.25, 984.31 and 511.25 is: 767.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.25 : 984.31 = 511.25 : x
  2. Step 2: Convert to fraction form
    655.25/984.31 = 511.25/x
  3. Step 3: Cross multiply
    655.25x = 984.31 × 511.25
  4. Step 4: Simplify right side
    655.25x = 503,222.29
  5. Step 5: Solve for x
    x = 503,222.29/655.25
  6. Step 6: Final answer
    x = 767.99

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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.