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Finding the Fourth Proportional to 1,189.36, 1,783.78 and 864.88

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Solution

The fourth proportional to 1,189.36, 1,783.78 and 864.88 is: 1,297.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.36 : 1,783.78 = 864.88 : x
  2. Step 2: Convert to fraction form
    1,189.36/1,783.78 = 864.88/x
  3. Step 3: Cross multiply
    1,189.36x = 1,783.78 × 864.88
  4. Step 4: Simplify right side
    1,189.36x = 1,542,755.65
  5. Step 5: Solve for x
    x = 1,542,755.65/1,189.36
  6. Step 6: Final answer
    x = 1,297.13

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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.