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Finding the Fourth Proportional to 950.64, 1,425.71 and 402.54

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Solution

The fourth proportional to 950.64, 1,425.71 and 402.54 is: 603.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.64 : 1,425.71 = 402.54 : x
  2. Step 2: Convert to fraction form
    950.64/1,425.71 = 402.54/x
  3. Step 3: Cross multiply
    950.64x = 1,425.71 × 402.54
  4. Step 4: Simplify right side
    950.64x = 573,906.31
  5. Step 5: Solve for x
    x = 573,906.31/950.64
  6. Step 6: Final answer
    x = 603.71

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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.