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Finding the Fourth Proportional to 832.63, 1,247.91 and 345.19

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Solution

The fourth proportional to 832.63, 1,247.91 and 345.19 is: 517.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.63 : 1,247.91 = 345.19 : x
  2. Step 2: Convert to fraction form
    832.63/1,247.91 = 345.19/x
  3. Step 3: Cross multiply
    832.63x = 1,247.91 × 345.19
  4. Step 4: Simplify right side
    832.63x = 430,766.05
  5. Step 5: Solve for x
    x = 430,766.05/832.63
  6. Step 6: Final answer
    x = 517.36

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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.