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Finding the Fourth Proportional to 830.50, 1,245.68 and 343.56

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Solution

The fourth proportional to 830.50, 1,245.68 and 343.56 is: 515.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.50 : 1,245.68 = 343.56 : x
  2. Step 2: Convert to fraction form
    830.50/1,245.68 = 343.56/x
  3. Step 3: Cross multiply
    830.50x = 1,245.68 × 343.56
  4. Step 4: Simplify right side
    830.50x = 427,965.82
  5. Step 5: Solve for x
    x = 427,965.82/830.50
  6. Step 6: Final answer
    x = 515.31

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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.