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Finding the Fourth Proportional to 854.00, 1,178.36 and 539.04

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Solution

The fourth proportional to 854.00, 1,178.36 and 539.04 is: 743.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.00 : 1,178.36 = 539.04 : x
  2. Step 2: Convert to fraction form
    854.00/1,178.36 = 539.04/x
  3. Step 3: Cross multiply
    854.00x = 1,178.36 × 539.04
  4. Step 4: Simplify right side
    854.00x = 635,180.48
  5. Step 5: Solve for x
    x = 635,180.48/854.00
  6. Step 6: Final answer
    x = 743.78

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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.