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Finding the Fourth Proportional to 850.68, 1,173.85 and 477.70

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Solution

The fourth proportional to 850.68, 1,173.85 and 477.70 is: 659.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.68 : 1,173.85 = 477.70 : x
  2. Step 2: Convert to fraction form
    850.68/1,173.85 = 477.70/x
  3. Step 3: Cross multiply
    850.68x = 1,173.85 × 477.70
  4. Step 4: Simplify right side
    850.68x = 560,739.89
  5. Step 5: Solve for x
    x = 560,739.89/850.68
  6. Step 6: Final answer
    x = 659.17

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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.