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Finding the Fourth Proportional to 655.97, 984.58 and 499.91

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Solution

The fourth proportional to 655.97, 984.58 and 499.91 is: 750.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.97 : 984.58 = 499.91 : x
  2. Step 2: Convert to fraction form
    655.97/984.58 = 499.91/x
  3. Step 3: Cross multiply
    655.97x = 984.58 × 499.91
  4. Step 4: Simplify right side
    655.97x = 492,195.22
  5. Step 5: Solve for x
    x = 492,195.22/655.97
  6. Step 6: Final answer
    x = 750.34

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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.