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Finding the Fourth Proportional to 952.12, 1,427.64 and 464.56

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Solution

The fourth proportional to 952.12, 1,427.64 and 464.56 is: 696.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.12 : 1,427.64 = 464.56 : x
  2. Step 2: Convert to fraction form
    952.12/1,427.64 = 464.56/x
  3. Step 3: Cross multiply
    952.12x = 1,427.64 × 464.56
  4. Step 4: Simplify right side
    952.12x = 663,224.44
  5. Step 5: Solve for x
    x = 663,224.44/952.12
  6. Step 6: Final answer
    x = 696.58

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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.