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Finding the Fourth Proportional to 1,175.82, 1,751.79 and 1,164.30

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Solution

The fourth proportional to 1,175.82, 1,751.79 and 1,164.30 is: 1,734.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.82 : 1,751.79 = 1,164.30 : x
  2. Step 2: Convert to fraction form
    1,175.82/1,751.79 = 1,164.30/x
  3. Step 3: Cross multiply
    1,175.82x = 1,751.79 × 1,164.30
  4. Step 4: Simplify right side
    1,175.82x = 2,039,609.10
  5. Step 5: Solve for x
    x = 2,039,609.10/1,175.82
  6. Step 6: Final answer
    x = 1,734.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.