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Finding the Fourth Proportional to 854, 1,178.52 and 504.98

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Solution

The fourth proportional to 854, 1,178.52 and 504.98 is: 696.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    854 : 1,178.52 = 504.98 : x
  2. Step 2: Convert to fraction form
    854/1,178.52 = 504.98/x
  3. Step 3: Cross multiply
    854x = 1,178.52 × 504.98
  4. Step 4: Simplify right side
    854x = 595,129.03
  5. Step 5: Solve for x
    x = 595,129.03/854
  6. Step 6: Final answer
    x = 696.87

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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.