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Finding the Fourth Proportional to 853.20, 1,177.05 and 538.31

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Solution

The fourth proportional to 853.20, 1,177.05 and 538.31 is: 742.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.20 : 1,177.05 = 538.31 : x
  2. Step 2: Convert to fraction form
    853.20/1,177.05 = 538.31/x
  3. Step 3: Cross multiply
    853.20x = 1,177.05 × 538.31
  4. Step 4: Simplify right side
    853.20x = 633,611.90
  5. Step 5: Solve for x
    x = 633,611.90/853.20
  6. Step 6: Final answer
    x = 742.63

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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.