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Finding the Fourth Proportional to 655.88, 984.14 and 412.52

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Solution

The fourth proportional to 655.88, 984.14 and 412.52 is: 618.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.88 : 984.14 = 412.52 : x
  2. Step 2: Convert to fraction form
    655.88/984.14 = 412.52/x
  3. Step 3: Cross multiply
    655.88x = 984.14 × 412.52
  4. Step 4: Simplify right side
    655.88x = 405,977.43
  5. Step 5: Solve for x
    x = 405,977.43/655.88
  6. Step 6: Final answer
    x = 618.98

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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.