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Finding the Fourth Proportional to 952.68, 1,427.57 and 466.08

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Solution

The fourth proportional to 952.68, 1,427.57 and 466.08 is: 698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.68 : 1,427.57 = 466.08 : x
  2. Step 2: Convert to fraction form
    952.68/1,427.57 = 466.08/x
  3. Step 3: Cross multiply
    952.68x = 1,427.57 × 466.08
  4. Step 4: Simplify right side
    952.68x = 665,361.83
  5. Step 5: Solve for x
    x = 665,361.83/952.68
  6. Step 6: Final answer
    x = 698.41

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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.