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Finding the Fourth Proportional to 792.63, 1,187.73 and 445.55

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Solution

The fourth proportional to 792.63, 1,187.73 and 445.55 is: 667.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.63 : 1,187.73 = 445.55 : x
  2. Step 2: Convert to fraction form
    792.63/1,187.73 = 445.55/x
  3. Step 3: Cross multiply
    792.63x = 1,187.73 × 445.55
  4. Step 4: Simplify right side
    792.63x = 529,187.16
  5. Step 5: Solve for x
    x = 529,187.16/792.63
  6. Step 6: Final answer
    x = 667.63

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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.