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Finding the Fourth Proportional to 850.82, 1,274.31 and 417.14

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Solution

The fourth proportional to 850.82, 1,274.31 and 417.14 is: 624.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.82 : 1,274.31 = 417.14 : x
  2. Step 2: Convert to fraction form
    850.82/1,274.31 = 417.14/x
  3. Step 3: Cross multiply
    850.82x = 1,274.31 × 417.14
  4. Step 4: Simplify right side
    850.82x = 531,565.67
  5. Step 5: Solve for x
    x = 531,565.67/850.82
  6. Step 6: Final answer
    x = 624.77

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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.