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Finding the Fourth Proportional to 920.05, 1,379.14 and 399.82

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Solution

The fourth proportional to 920.05, 1,379.14 and 399.82 is: 599.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.05 : 1,379.14 = 399.82 : x
  2. Step 2: Convert to fraction form
    920.05/1,379.14 = 399.82/x
  3. Step 3: Cross multiply
    920.05x = 1,379.14 × 399.82
  4. Step 4: Simplify right side
    920.05x = 551,407.75
  5. Step 5: Solve for x
    x = 551,407.75/920.05
  6. Step 6: Final answer
    x = 599.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.