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Finding the Fourth Proportional to 947.80, 1,421.70 and 399.85

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Solution

The fourth proportional to 947.80, 1,421.70 and 399.85 is: 599.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.80 : 1,421.70 = 399.85 : x
  2. Step 2: Convert to fraction form
    947.80/1,421.70 = 399.85/x
  3. Step 3: Cross multiply
    947.80x = 1,421.70 × 399.85
  4. Step 4: Simplify right side
    947.80x = 568,466.75
  5. Step 5: Solve for x
    x = 568,466.75/947.80
  6. Step 6: Final answer
    x = 599.78

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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.