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Finding the Fourth Proportional to 947.38, 1,419.63 and 562.42

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Solution

The fourth proportional to 947.38, 1,419.63 and 562.42 is: 842.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.38 : 1,419.63 = 562.42 : x
  2. Step 2: Convert to fraction form
    947.38/1,419.63 = 562.42/x
  3. Step 3: Cross multiply
    947.38x = 1,419.63 × 562.42
  4. Step 4: Simplify right side
    947.38x = 798,428.30
  5. Step 5: Solve for x
    x = 798,428.30/947.38
  6. Step 6: Final answer
    x = 842.78

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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.