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Finding the Fourth Proportional to 952.42, 1,427.70 and 513.58

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Solution

The fourth proportional to 952.42, 1,427.70 and 513.58 is: 769.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.42 : 1,427.70 = 513.58 : x
  2. Step 2: Convert to fraction form
    952.42/1,427.70 = 513.58/x
  3. Step 3: Cross multiply
    952.42x = 1,427.70 × 513.58
  4. Step 4: Simplify right side
    952.42x = 733,238.17
  5. Step 5: Solve for x
    x = 733,238.17/952.42
  6. Step 6: Final answer
    x = 769.87

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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.