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Finding the Fourth Proportional to 908.82, 1,363.50 and 446.99

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Solution

The fourth proportional to 908.82, 1,363.50 and 446.99 is: 670.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.82 : 1,363.50 = 446.99 : x
  2. Step 2: Convert to fraction form
    908.82/1,363.50 = 446.99/x
  3. Step 3: Cross multiply
    908.82x = 1,363.50 × 446.99
  4. Step 4: Simplify right side
    908.82x = 609,464.05
  5. Step 5: Solve for x
    x = 609,464.05/908.82
  6. Step 6: Final answer
    x = 670.61

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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.