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Finding the Fourth Proportional to 832.91, 1,247.75 and 466.59

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Solution

The fourth proportional to 832.91, 1,247.75 and 466.59 is: 698.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.91 : 1,247.75 = 466.59 : x
  2. Step 2: Convert to fraction form
    832.91/1,247.75 = 466.59/x
  3. Step 3: Cross multiply
    832.91x = 1,247.75 × 466.59
  4. Step 4: Simplify right side
    832.91x = 582,183.86
  5. Step 5: Solve for x
    x = 582,183.86/832.91
  6. Step 6: Final answer
    x = 698.98

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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.