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Finding the Fourth Proportional to 1,182.06, 1,769.85 and 792.65

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Solution

The fourth proportional to 1,182.06, 1,769.85 and 792.65 is: 1,186.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.06 : 1,769.85 = 792.65 : x
  2. Step 2: Convert to fraction form
    1,182.06/1,769.85 = 792.65/x
  3. Step 3: Cross multiply
    1,182.06x = 1,769.85 × 792.65
  4. Step 4: Simplify right side
    1,182.06x = 1,402,876.03
  5. Step 5: Solve for x
    x = 1,402,876.03/1,182.06
  6. Step 6: Final answer
    x = 1,186.81

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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.