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Finding the Fourth Proportional to 947.31, 1,419.92 and 399.87

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Solution

The fourth proportional to 947.31, 1,419.92 and 399.87 is: 599.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.31 : 1,419.92 = 399.87 : x
  2. Step 2: Convert to fraction form
    947.31/1,419.92 = 399.87/x
  3. Step 3: Cross multiply
    947.31x = 1,419.92 × 399.87
  4. Step 4: Simplify right side
    947.31x = 567,781.41
  5. Step 5: Solve for x
    x = 567,781.41/947.31
  6. Step 6: Final answer
    x = 599.36

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Why These Related Problems?

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