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Finding the Fourth Proportional to 850.54, 1,173.80 and 477.66

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Solution

The fourth proportional to 850.54, 1,173.80 and 477.66 is: 659.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.54 : 1,173.80 = 477.66 : x
  2. Step 2: Convert to fraction form
    850.54/1,173.80 = 477.66/x
  3. Step 3: Cross multiply
    850.54x = 1,173.80 × 477.66
  4. Step 4: Simplify right side
    850.54x = 560,677.31
  5. Step 5: Solve for x
    x = 560,677.31/850.54
  6. Step 6: Final answer
    x = 659.20

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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.