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Finding the Fourth Proportional to 947.23, 1,421.04 and 399.41

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Solution

The fourth proportional to 947.23, 1,421.04 and 399.41 is: 599.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.23 : 1,421.04 = 399.41 : x
  2. Step 2: Convert to fraction form
    947.23/1,421.04 = 399.41/x
  3. Step 3: Cross multiply
    947.23x = 1,421.04 × 399.41
  4. Step 4: Simplify right side
    947.23x = 567,580.39
  5. Step 5: Solve for x
    x = 567,580.39/947.23
  6. Step 6: Final answer
    x = 599.20

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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.