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Finding the Fourth Proportional to 1,062.70, 1,589.73 and 786.85

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Solution

The fourth proportional to 1,062.70, 1,589.73 and 786.85 is: 1,177.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.70 : 1,589.73 = 786.85 : x
  2. Step 2: Convert to fraction form
    1,062.70/1,589.73 = 786.85/x
  3. Step 3: Cross multiply
    1,062.70x = 1,589.73 × 786.85
  4. Step 4: Simplify right side
    1,062.70x = 1,250,879.05
  5. Step 5: Solve for x
    x = 1,250,879.05/1,062.70
  6. Step 6: Final answer
    x = 1,177.08

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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.