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Finding the Fourth Proportional to 1,189.68, 1,784.82 and 960.65

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Solution

The fourth proportional to 1,189.68, 1,784.82 and 960.65 is: 1,441.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.68 : 1,784.82 = 960.65 : x
  2. Step 2: Convert to fraction form
    1,189.68/1,784.82 = 960.65/x
  3. Step 3: Cross multiply
    1,189.68x = 1,784.82 × 960.65
  4. Step 4: Simplify right side
    1,189.68x = 1,714,578.41
  5. Step 5: Solve for x
    x = 1,714,578.41/1,189.68
  6. Step 6: Final answer
    x = 1,441.21

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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.