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Finding the Fourth Proportional to 949.65, 1,424.96 and 462.69

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Solution

The fourth proportional to 949.65, 1,424.96 and 462.69 is: 694.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.65 : 1,424.96 = 462.69 : x
  2. Step 2: Convert to fraction form
    949.65/1,424.96 = 462.69/x
  3. Step 3: Cross multiply
    949.65x = 1,424.96 × 462.69
  4. Step 4: Simplify right side
    949.65x = 659,314.74
  5. Step 5: Solve for x
    x = 659,314.74/949.65
  6. Step 6: Final answer
    x = 694.27

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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.