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Finding the Fourth Proportional to 854.34, 1,179.16 and 505.12

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Solution

The fourth proportional to 854.34, 1,179.16 and 505.12 is: 697.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.34 : 1,179.16 = 505.12 : x
  2. Step 2: Convert to fraction form
    854.34/1,179.16 = 505.12/x
  3. Step 3: Cross multiply
    854.34x = 1,179.16 × 505.12
  4. Step 4: Simplify right side
    854.34x = 595,617.30
  5. Step 5: Solve for x
    x = 595,617.30/854.34
  6. Step 6: Final answer
    x = 697.17

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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.