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Finding the Fourth Proportional to 1,175.69, 1,622.42 and 678.29

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Solution

The fourth proportional to 1,175.69, 1,622.42 and 678.29 is: 936.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.69 : 1,622.42 = 678.29 : x
  2. Step 2: Convert to fraction form
    1,175.69/1,622.42 = 678.29/x
  3. Step 3: Cross multiply
    1,175.69x = 1,622.42 × 678.29
  4. Step 4: Simplify right side
    1,175.69x = 1,100,471.26
  5. Step 5: Solve for x
    x = 1,100,471.26/1,175.69
  6. Step 6: Final answer
    x = 936.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.