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Finding the Fourth Proportional to 950.72, 1,426.56 and 431.09

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Solution

The fourth proportional to 950.72, 1,426.56 and 431.09 is: 646.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.72 : 1,426.56 = 431.09 : x
  2. Step 2: Convert to fraction form
    950.72/1,426.56 = 431.09/x
  3. Step 3: Cross multiply
    950.72x = 1,426.56 × 431.09
  4. Step 4: Simplify right side
    950.72x = 614,975.75
  5. Step 5: Solve for x
    x = 614,975.75/950.72
  6. Step 6: Final answer
    x = 646.85

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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.