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Finding the Fourth Proportional to 1,190.43, 1,783.49 and 1,164.51

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Solution

The fourth proportional to 1,190.43, 1,783.49 and 1,164.51 is: 1,744.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.43 : 1,783.49 = 1,164.51 : x
  2. Step 2: Convert to fraction form
    1,190.43/1,783.49 = 1,164.51/x
  3. Step 3: Cross multiply
    1,190.43x = 1,783.49 × 1,164.51
  4. Step 4: Simplify right side
    1,190.43x = 2,076,886.12
  5. Step 5: Solve for x
    x = 2,076,886.12/1,190.43
  6. Step 6: Final answer
    x = 1,744.65

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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.