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Finding the Fourth Proportional to 1,190.45, 1,785.81 and 459.92

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Solution

The fourth proportional to 1,190.45, 1,785.81 and 459.92 is: 689.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.45 : 1,785.81 = 459.92 : x
  2. Step 2: Convert to fraction form
    1,190.45/1,785.81 = 459.92/x
  3. Step 3: Cross multiply
    1,190.45x = 1,785.81 × 459.92
  4. Step 4: Simplify right side
    1,190.45x = 821,329.74
  5. Step 5: Solve for x
    x = 821,329.74/1,190.45
  6. Step 6: Final answer
    x = 689.93

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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.