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Finding the Fourth Proportional to 1,179.54, 1,626.84 and 825.34

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Solution

The fourth proportional to 1,179.54, 1,626.84 and 825.34 is: 1,138.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.54 : 1,626.84 = 825.34 : x
  2. Step 2: Convert to fraction form
    1,179.54/1,626.84 = 825.34/x
  3. Step 3: Cross multiply
    1,179.54x = 1,626.84 × 825.34
  4. Step 4: Simplify right side
    1,179.54x = 1,342,696.13
  5. Step 5: Solve for x
    x = 1,342,696.13/1,179.54
  6. Step 6: Final answer
    x = 1,138.32

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Why These Related Problems?

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