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Finding the Fourth Proportional to 854.17, 1,178.62 and 504.86

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Solution

The fourth proportional to 854.17, 1,178.62 and 504.86 is: 696.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.17 : 1,178.62 = 504.86 : x
  2. Step 2: Convert to fraction form
    854.17/1,178.62 = 504.86/x
  3. Step 3: Cross multiply
    854.17x = 1,178.62 × 504.86
  4. Step 4: Simplify right side
    854.17x = 595,030.94
  5. Step 5: Solve for x
    x = 595,030.94/854.17
  6. Step 6: Final answer
    x = 696.62

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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.