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Finding the Fourth Proportional to 1,338.75, 2,008.67 and 689.13

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Solution

The fourth proportional to 1,338.75, 2,008.67 and 689.13 is: 1,033.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.75 : 2,008.67 = 689.13 : x
  2. Step 2: Convert to fraction form
    1,338.75/2,008.67 = 689.13/x
  3. Step 3: Cross multiply
    1,338.75x = 2,008.67 × 689.13
  4. Step 4: Simplify right side
    1,338.75x = 1,384,234.76
  5. Step 5: Solve for x
    x = 1,384,234.76/1,338.75
  6. Step 6: Final answer
    x = 1,033.98

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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.