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Finding the Fourth Proportional to 1,234.35, 1,850.82 and 412.43

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Solution

The fourth proportional to 1,234.35, 1,850.82 and 412.43 is: 618.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.35 : 1,850.82 = 412.43 : x
  2. Step 2: Convert to fraction form
    1,234.35/1,850.82 = 412.43/x
  3. Step 3: Cross multiply
    1,234.35x = 1,850.82 × 412.43
  4. Step 4: Simplify right side
    1,234.35x = 763,324.44
  5. Step 5: Solve for x
    x = 763,324.44/1,234.35
  6. Step 6: Final answer
    x = 618.40

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1.5x scale

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.