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Finding the Fourth Proportional to 655.72, 983.24 and 459.73

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Solution

The fourth proportional to 655.72, 983.24 and 459.73 is: 689.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.72 : 983.24 = 459.73 : x
  2. Step 2: Convert to fraction form
    655.72/983.24 = 459.73/x
  3. Step 3: Cross multiply
    655.72x = 983.24 × 459.73
  4. Step 4: Simplify right side
    655.72x = 452,020.05
  5. Step 5: Solve for x
    x = 452,020.05/655.72
  6. Step 6: Final answer
    x = 689.35

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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.