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Finding the Fourth Proportional to 952.69, 1,429.39 and 514.43

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Solution

The fourth proportional to 952.69, 1,429.39 and 514.43 is: 771.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.69 : 1,429.39 = 514.43 : x
  2. Step 2: Convert to fraction form
    952.69/1,429.39 = 514.43/x
  3. Step 3: Cross multiply
    952.69x = 1,429.39 × 514.43
  4. Step 4: Simplify right side
    952.69x = 735,321.10
  5. Step 5: Solve for x
    x = 735,321.10/952.69
  6. Step 6: Final answer
    x = 771.84

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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.