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Finding the Fourth Proportional to 1,190.89, 1,785.57 and 497.37

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Solution

The fourth proportional to 1,190.89, 1,785.57 and 497.37 is: 745.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.89 : 1,785.57 = 497.37 : x
  2. Step 2: Convert to fraction form
    1,190.89/1,785.57 = 497.37/x
  3. Step 3: Cross multiply
    1,190.89x = 1,785.57 × 497.37
  4. Step 4: Simplify right side
    1,190.89x = 888,089.84
  5. Step 5: Solve for x
    x = 888,089.84/1,190.89
  6. Step 6: Final answer
    x = 745.74

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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.