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Finding the Fourth Proportional to 950.46, 1,424.73 and 456.14

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Solution

The fourth proportional to 950.46, 1,424.73 and 456.14 is: 683.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.46 : 1,424.73 = 456.14 : x
  2. Step 2: Convert to fraction form
    950.46/1,424.73 = 456.14/x
  3. Step 3: Cross multiply
    950.46x = 1,424.73 × 456.14
  4. Step 4: Simplify right side
    950.46x = 649,874.06
  5. Step 5: Solve for x
    x = 649,874.06/950.46
  6. Step 6: Final answer
    x = 683.75

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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.