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Finding the Fourth Proportional to 947, 1,419.56 and 399.49

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Solution

The fourth proportional to 947, 1,419.56 and 399.49 is: 598.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    947 : 1,419.56 = 399.49 : x
  2. Step 2: Convert to fraction form
    947/1,419.56 = 399.49/x
  3. Step 3: Cross multiply
    947x = 1,419.56 × 399.49
  4. Step 4: Simplify right side
    947x = 567,090.93
  5. Step 5: Solve for x
    x = 567,090.93/947
  6. Step 6: Final answer
    x = 598.83

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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.