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Finding the Fourth Proportional to 1,179.65, 1,768.57 and 685.30

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Solution

The fourth proportional to 1,179.65, 1,768.57 and 685.30 is: 1,027.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.65 : 1,768.57 = 685.30 : x
  2. Step 2: Convert to fraction form
    1,179.65/1,768.57 = 685.30/x
  3. Step 3: Cross multiply
    1,179.65x = 1,768.57 × 685.30
  4. Step 4: Simplify right side
    1,179.65x = 1,212,001.02
  5. Step 5: Solve for x
    x = 1,212,001.02/1,179.65
  6. Step 6: Final answer
    x = 1,027.42

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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.