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Finding the Fourth Proportional to 950.81, 1,424.72 and 512.06

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Solution

The fourth proportional to 950.81, 1,424.72 and 512.06 is: 767.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.81 : 1,424.72 = 512.06 : x
  2. Step 2: Convert to fraction form
    950.81/1,424.72 = 512.06/x
  3. Step 3: Cross multiply
    950.81x = 1,424.72 × 512.06
  4. Step 4: Simplify right side
    950.81x = 729,536.28
  5. Step 5: Solve for x
    x = 729,536.28/950.81
  6. Step 6: Final answer
    x = 767.28

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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.