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Finding the Fourth Proportional to 950.14, 1,423.82 and 462.64

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Solution

The fourth proportional to 950.14, 1,423.82 and 462.64 is: 693.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.14 : 1,423.82 = 462.64 : x
  2. Step 2: Convert to fraction form
    950.14/1,423.82 = 462.64/x
  3. Step 3: Cross multiply
    950.14x = 1,423.82 × 462.64
  4. Step 4: Simplify right side
    950.14x = 658,716.08
  5. Step 5: Solve for x
    x = 658,716.08/950.14
  6. Step 6: Final answer
    x = 693.28

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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.