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Finding the Fourth Proportional to 850.34, 1,173.95 and 571.49

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Solution

The fourth proportional to 850.34, 1,173.95 and 571.49 is: 788.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.34 : 1,173.95 = 571.49 : x
  2. Step 2: Convert to fraction form
    850.34/1,173.95 = 571.49/x
  3. Step 3: Cross multiply
    850.34x = 1,173.95 × 571.49
  4. Step 4: Simplify right side
    850.34x = 670,891.96
  5. Step 5: Solve for x
    x = 670,891.96/850.34
  6. Step 6: Final answer
    x = 788.97

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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.