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Finding the Fourth Proportional to 947.58, 1,421.37 and 399.75

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Solution

The fourth proportional to 947.58, 1,421.37 and 399.75 is: 599.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.58 : 1,421.37 = 399.75 : x
  2. Step 2: Convert to fraction form
    947.58/1,421.37 = 399.75/x
  3. Step 3: Cross multiply
    947.58x = 1,421.37 × 399.75
  4. Step 4: Simplify right side
    947.58x = 568,192.66
  5. Step 5: Solve for x
    x = 568,192.66/947.58
  6. Step 6: Final answer
    x = 599.63

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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.