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Finding the Fourth Proportional to 952.42, 1,427.97 and 465.86

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Solution

The fourth proportional to 952.42, 1,427.97 and 465.86 is: 698.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.42 : 1,427.97 = 465.86 : x
  2. Step 2: Convert to fraction form
    952.42/1,427.97 = 465.86/x
  3. Step 3: Cross multiply
    952.42x = 1,427.97 × 465.86
  4. Step 4: Simplify right side
    952.42x = 665,234.10
  5. Step 5: Solve for x
    x = 665,234.10/952.42
  6. Step 6: Final answer
    x = 698.47

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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.