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Finding the Fourth Proportional to 1,190.43, 1,785.56 and 496.85

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Solution

The fourth proportional to 1,190.43, 1,785.56 and 496.85 is: 745.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.43 : 1,785.56 = 496.85 : x
  2. Step 2: Convert to fraction form
    1,190.43/1,785.56 = 496.85/x
  3. Step 3: Cross multiply
    1,190.43x = 1,785.56 × 496.85
  4. Step 4: Simplify right side
    1,190.43x = 887,144.07
  5. Step 5: Solve for x
    x = 887,144.07/1,190.43
  6. Step 6: Final answer
    x = 745.23

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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.