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Finding the Fourth Proportional to 1,174.69, 1,759.32 and 843.57

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Solution

The fourth proportional to 1,174.69, 1,759.32 and 843.57 is: 1,263.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.69 : 1,759.32 = 843.57 : x
  2. Step 2: Convert to fraction form
    1,174.69/1,759.32 = 843.57/x
  3. Step 3: Cross multiply
    1,174.69x = 1,759.32 × 843.57
  4. Step 4: Simplify right side
    1,174.69x = 1,484,109.57
  5. Step 5: Solve for x
    x = 1,484,109.57/1,174.69
  6. Step 6: Final answer
    x = 1,263.41

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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.