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Finding the Fourth Proportional to 854.13, 1,178.81 and 504.84

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Solution

The fourth proportional to 854.13, 1,178.81 and 504.84 is: 696.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.13 : 1,178.81 = 504.84 : x
  2. Step 2: Convert to fraction form
    854.13/1,178.81 = 504.84/x
  3. Step 3: Cross multiply
    854.13x = 1,178.81 × 504.84
  4. Step 4: Simplify right side
    854.13x = 595,110.44
  5. Step 5: Solve for x
    x = 595,110.44/854.13
  6. Step 6: Final answer
    x = 696.74

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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.