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Finding the Fourth Proportional to 1,190.93, 1,786.10 and 497.22

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Solution

The fourth proportional to 1,190.93, 1,786.10 and 497.22 is: 745.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.93 : 1,786.10 = 497.22 : x
  2. Step 2: Convert to fraction form
    1,190.93/1,786.10 = 497.22/x
  3. Step 3: Cross multiply
    1,190.93x = 1,786.10 × 497.22
  4. Step 4: Simplify right side
    1,190.93x = 888,086.82
  5. Step 5: Solve for x
    x = 888,086.82/1,190.93
  6. Step 6: Final answer
    x = 745.71

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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.