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Finding the Fourth Proportional to 950.66, 1,425.15 and 512.15

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Solution

The fourth proportional to 950.66, 1,425.15 and 512.15 is: 767.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.66 : 1,425.15 = 512.15 : x
  2. Step 2: Convert to fraction form
    950.66/1,425.15 = 512.15/x
  3. Step 3: Cross multiply
    950.66x = 1,425.15 × 512.15
  4. Step 4: Simplify right side
    950.66x = 729,890.57
  5. Step 5: Solve for x
    x = 729,890.57/950.66
  6. Step 6: Final answer
    x = 767.77

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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.