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Finding the Fourth Proportional to 947.42, 1,419.92 and 426.86

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Solution

The fourth proportional to 947.42, 1,419.92 and 426.86 is: 639.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.42 : 1,419.92 = 426.86 : x
  2. Step 2: Convert to fraction form
    947.42/1,419.92 = 426.86/x
  3. Step 3: Cross multiply
    947.42x = 1,419.92 × 426.86
  4. Step 4: Simplify right side
    947.42x = 606,107.05
  5. Step 5: Solve for x
    x = 606,107.05/947.42
  6. Step 6: Final answer
    x = 639.74

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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.