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Finding the Fourth Proportional to 854.24, 1,178.82 and 522.54

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Solution

The fourth proportional to 854.24, 1,178.82 and 522.54 is: 721.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.24 : 1,178.82 = 522.54 : x
  2. Step 2: Convert to fraction form
    854.24/1,178.82 = 522.54/x
  3. Step 3: Cross multiply
    854.24x = 1,178.82 × 522.54
  4. Step 4: Simplify right side
    854.24x = 615,980.60
  5. Step 5: Solve for x
    x = 615,980.60/854.24
  6. Step 6: Final answer
    x = 721.09

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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.