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Finding the Fourth Proportional to 853.82, 1,178.18 and 539.10

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Solution

The fourth proportional to 853.82, 1,178.18 and 539.10 is: 743.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.82 : 1,178.18 = 539.10 : x
  2. Step 2: Convert to fraction form
    853.82/1,178.18 = 539.10/x
  3. Step 3: Cross multiply
    853.82x = 1,178.18 × 539.10
  4. Step 4: Simplify right side
    853.82x = 635,156.84
  5. Step 5: Solve for x
    x = 635,156.84/853.82
  6. Step 6: Final answer
    x = 743.90

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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.