Home / 1,524.09-2,285.67-793.27

Finding the Fourth Proportional to 1,524.09, 2,285.67 and 793.27

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Solution

The fourth proportional to 1,524.09, 2,285.67 and 793.27 is: 1,189.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.09 : 2,285.67 = 793.27 : x
  2. Step 2: Convert to fraction form
    1,524.09/2,285.67 = 793.27/x
  3. Step 3: Cross multiply
    1,524.09x = 2,285.67 × 793.27
  4. Step 4: Simplify right side
    1,524.09x = 1,813,153.44
  5. Step 5: Solve for x
    x = 1,813,153.44/1,524.09
  6. Step 6: Final answer
    x = 1,189.66

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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.