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Finding the Fourth Proportional to 1,190.67, 1,785.99 and 532.37

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Solution

The fourth proportional to 1,190.67, 1,785.99 and 532.37 is: 798.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.67 : 1,785.99 = 532.37 : x
  2. Step 2: Convert to fraction form
    1,190.67/1,785.99 = 532.37/x
  3. Step 3: Cross multiply
    1,190.67x = 1,785.99 × 532.37
  4. Step 4: Simplify right side
    1,190.67x = 950,811.96
  5. Step 5: Solve for x
    x = 950,811.96/1,190.67
  6. Step 6: Final answer
    x = 798.55

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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.