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Finding the Fourth Proportional to 1,252.50, 1,879.86 and 667.89

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Solution

The fourth proportional to 1,252.50, 1,879.86 and 667.89 is: 1,002.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.50 : 1,879.86 = 667.89 : x
  2. Step 2: Convert to fraction form
    1,252.50/1,879.86 = 667.89/x
  3. Step 3: Cross multiply
    1,252.50x = 1,879.86 × 667.89
  4. Step 4: Simplify right side
    1,252.50x = 1,255,539.70
  5. Step 5: Solve for x
    x = 1,255,539.70/1,252.50
  6. Step 6: Final answer
    x = 1,002.43

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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.