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Finding the Fourth Proportional to 854.07, 1,178.64 and 504.96

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Solution

The fourth proportional to 854.07, 1,178.64 and 504.96 is: 696.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.07 : 1,178.64 = 504.96 : x
  2. Step 2: Convert to fraction form
    854.07/1,178.64 = 504.96/x
  3. Step 3: Cross multiply
    854.07x = 1,178.64 × 504.96
  4. Step 4: Simplify right side
    854.07x = 595,166.05
  5. Step 5: Solve for x
    x = 595,166.05/854.07
  6. Step 6: Final answer
    x = 696.86

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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.