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Finding the Fourth Proportional to 1,084.65, 1,619.10 and 1,008.69

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Solution

The fourth proportional to 1,084.65, 1,619.10 and 1,008.69 is: 1,505.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.65 : 1,619.10 = 1,008.69 : x
  2. Step 2: Convert to fraction form
    1,084.65/1,619.10 = 1,008.69/x
  3. Step 3: Cross multiply
    1,084.65x = 1,619.10 × 1,008.69
  4. Step 4: Simplify right side
    1,084.65x = 1,633,169.98
  5. Step 5: Solve for x
    x = 1,633,169.98/1,084.65
  6. Step 6: Final answer
    x = 1,505.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.