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Finding the Fourth Proportional to 947.45, 1,420.34 and 399.33

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Solution

The fourth proportional to 947.45, 1,420.34 and 399.33 is: 598.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.45 : 1,420.34 = 399.33 : x
  2. Step 2: Convert to fraction form
    947.45/1,420.34 = 399.33/x
  3. Step 3: Cross multiply
    947.45x = 1,420.34 × 399.33
  4. Step 4: Simplify right side
    947.45x = 567,182.38
  5. Step 5: Solve for x
    x = 567,182.38/947.45
  6. Step 6: Final answer
    x = 598.64

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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.