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Finding the Fourth Proportional to 947.90, 1,421.26 and 399.80

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Solution

The fourth proportional to 947.90, 1,421.26 and 399.80 is: 599.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.90 : 1,421.26 = 399.80 : x
  2. Step 2: Convert to fraction form
    947.90/1,421.26 = 399.80/x
  3. Step 3: Cross multiply
    947.90x = 1,421.26 × 399.80
  4. Step 4: Simplify right side
    947.90x = 568,219.75
  5. Step 5: Solve for x
    x = 568,219.75/947.90
  6. Step 6: Final answer
    x = 599.45

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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.