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Finding the Fourth Proportional to 854.24, 1,178.40 and 574.55

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Solution

The fourth proportional to 854.24, 1,178.40 and 574.55 is: 792.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.24 : 1,178.40 = 574.55 : x
  2. Step 2: Convert to fraction form
    854.24/1,178.40 = 574.55/x
  3. Step 3: Cross multiply
    854.24x = 1,178.40 × 574.55
  4. Step 4: Simplify right side
    854.24x = 677,049.72
  5. Step 5: Solve for x
    x = 677,049.72/854.24
  6. Step 6: Final answer
    x = 792.58

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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.