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Finding the Fourth Proportional to 1,169.81, 1,755.45 and 439.32

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Solution

The fourth proportional to 1,169.81, 1,755.45 and 439.32 is: 659.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.81 : 1,755.45 = 439.32 : x
  2. Step 2: Convert to fraction form
    1,169.81/1,755.45 = 439.32/x
  3. Step 3: Cross multiply
    1,169.81x = 1,755.45 × 439.32
  4. Step 4: Simplify right side
    1,169.81x = 771,204.29
  5. Step 5: Solve for x
    x = 771,204.29/1,169.81
  6. Step 6: Final answer
    x = 659.26

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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.