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Finding the Fourth Proportional to 850.41, 1,173.57 and 477.40

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Solution

The fourth proportional to 850.41, 1,173.57 and 477.40 is: 658.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.41 : 1,173.57 = 477.40 : x
  2. Step 2: Convert to fraction form
    850.41/1,173.57 = 477.40/x
  3. Step 3: Cross multiply
    850.41x = 1,173.57 × 477.40
  4. Step 4: Simplify right side
    850.41x = 560,257.59
  5. Step 5: Solve for x
    x = 560,257.59/850.41
  6. Step 6: Final answer
    x = 658.81

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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.