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Finding the Fourth Proportional to 850.63, 1,173.84 and 477.61

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Solution

The fourth proportional to 850.63, 1,173.84 and 477.61 is: 659.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.63 : 1,173.84 = 477.61 : x
  2. Step 2: Convert to fraction form
    850.63/1,173.84 = 477.61/x
  3. Step 3: Cross multiply
    850.63x = 1,173.84 × 477.61
  4. Step 4: Simplify right side
    850.63x = 560,637.72
  5. Step 5: Solve for x
    x = 560,637.72/850.63
  6. Step 6: Final answer
    x = 659.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.