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Finding the Fourth Proportional to 1,190.60, 1,786.42 and 460.68

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Solution

The fourth proportional to 1,190.60, 1,786.42 and 460.68 is: 691.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.60 : 1,786.42 = 460.68 : x
  2. Step 2: Convert to fraction form
    1,190.60/1,786.42 = 460.68/x
  3. Step 3: Cross multiply
    1,190.60x = 1,786.42 × 460.68
  4. Step 4: Simplify right side
    1,190.60x = 822,967.97
  5. Step 5: Solve for x
    x = 822,967.97/1,190.60
  6. Step 6: Final answer
    x = 691.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.