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Finding the Fourth Proportional to 952.12, 1,427.46 and 513.16

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Solution

The fourth proportional to 952.12, 1,427.46 and 513.16 is: 769.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.12 : 1,427.46 = 513.16 : x
  2. Step 2: Convert to fraction form
    952.12/1,427.46 = 513.16/x
  3. Step 3: Cross multiply
    952.12x = 1,427.46 × 513.16
  4. Step 4: Simplify right side
    952.12x = 732,515.37
  5. Step 5: Solve for x
    x = 732,515.37/952.12
  6. Step 6: Final answer
    x = 769.35

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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.