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Finding the Fourth Proportional to 1,234.29, 1,850.32 and 886.75

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Solution

The fourth proportional to 1,234.29, 1,850.32 and 886.75 is: 1,329.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.29 : 1,850.32 = 886.75 : x
  2. Step 2: Convert to fraction form
    1,234.29/1,850.32 = 886.75/x
  3. Step 3: Cross multiply
    1,234.29x = 1,850.32 × 886.75
  4. Step 4: Simplify right side
    1,234.29x = 1,640,771.26
  5. Step 5: Solve for x
    x = 1,640,771.26/1,234.29
  6. Step 6: Final answer
    x = 1,329.32

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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.