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Finding the Fourth Proportional to 830.82, 1,245.86 and 310.73

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Solution

The fourth proportional to 830.82, 1,245.86 and 310.73 is: 465.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.82 : 1,245.86 = 310.73 : x
  2. Step 2: Convert to fraction form
    830.82/1,245.86 = 310.73/x
  3. Step 3: Cross multiply
    830.82x = 1,245.86 × 310.73
  4. Step 4: Simplify right side
    830.82x = 387,126.08
  5. Step 5: Solve for x
    x = 387,126.08/830.82
  6. Step 6: Final answer
    x = 465.96

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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.