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Finding the Fourth Proportional to 807.86, 1,212.30 and 345.64

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Solution

The fourth proportional to 807.86, 1,212.30 and 345.64 is: 518.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.86 : 1,212.30 = 345.64 : x
  2. Step 2: Convert to fraction form
    807.86/1,212.30 = 345.64/x
  3. Step 3: Cross multiply
    807.86x = 1,212.30 × 345.64
  4. Step 4: Simplify right side
    807.86x = 419,019.37
  5. Step 5: Solve for x
    x = 419,019.37/807.86
  6. Step 6: Final answer
    x = 518.68

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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.