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Finding the Fourth Proportional to 1,179.62, 1,628.04 and 849.14

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Solution

The fourth proportional to 1,179.62, 1,628.04 and 849.14 is: 1,171.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.62 : 1,628.04 = 849.14 : x
  2. Step 2: Convert to fraction form
    1,179.62/1,628.04 = 849.14/x
  3. Step 3: Cross multiply
    1,179.62x = 1,628.04 × 849.14
  4. Step 4: Simplify right side
    1,179.62x = 1,382,433.89
  5. Step 5: Solve for x
    x = 1,382,433.89/1,179.62
  6. Step 6: Final answer
    x = 1,171.93

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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.